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On Farrell-Tate cohomology of SL_2 over S-integers Rahm, Alexander ; E-print/Working paper (in press) Detailed reference viewed: 21 (1 UL)Evolution systems of measures and semigroup properties on evolving manifolds Cheng, Li Juan ; Thalmaier, Anton E-print/Working paper (2017) An evolving Riemannian manifold (M,g_t)_{t\in I} consists of a smooth d-dimensional manifold M, equipped with a geometric flow g_t of complete Riemannian metrics, parametrized by I=(-\infty,T). Given an ... [more ▼] An evolving Riemannian manifold (M,g_t)_{t\in I} consists of a smooth d-dimensional manifold M, equipped with a geometric flow g_t of complete Riemannian metrics, parametrized by I=(-\infty,T). Given an additional C^{1,1} family of vector fields (Z_t)_{t\in I} on M. We study the family of operators L_t=\Delta_t +Z_t where \Delta_t denotes the Laplacian with respect to the metric g_t. We first give sufficient conditions, in terms of space-time Lyapunov functions, for non-explosion of the diffusion generated by L_t, and for existence of evolution systems of probability measures associated to it. Coupling methods are used to establish uniqueness of the evolution systems under suitable curvature conditions. Adopting such a unique system of probability measures as reference measures, we characterize supercontractivity, hypercontractivity and ultraboundedness of the corresponding time-inhomogeneous semigroup. To this end, gradient estimates and a family of (super-)logarithmic Sobolev inequalities are established. [less ▲] Detailed reference viewed: 28 (13 UL)Arbeitsmotivation von Arbeitnehmern in Luxemburg Sischka, Philipp ; Steffgen, Georges E-print/Working paper (2017) Die europäische Studie EWCS (Eurofund, 2016a, 2016b) zeigt auf, dass sich die Arbeitsmotivation der Arbeitnehmer in Luxemburg eher im mittleren Bereich wiederfindet. Die nationale Studie Quality of Work ... [more ▼] Die europäische Studie EWCS (Eurofund, 2016a, 2016b) zeigt auf, dass sich die Arbeitsmotivation der Arbeitnehmer in Luxemburg eher im mittleren Bereich wiederfindet. Die nationale Studie Quality of Work Index belegt nur geringfügige Unterschiede der Arbeitsmotivation sowohl zwischen männlichen und weiblichen Arbeitnehmern als auch zwischen den verschiedenen Altersgruppen. Arbeitnehmer in einer Vorgesetztenposition, Manager und Führungskräfte zeigen im Durchschnitt eine höhere, Hilfsarbeitskräfte dagegen im Durchschnitt eine geringere Arbeitsmotivation. Überdurchschnittlich motiviert erweisen sich Arbeitnehmer in Nichtregierungsorganisationen (NGO). Die Arbeitsmotivation ist dabei mit verschiedenen psychosozialen Abeitsbedingungen sowie Arbeitsrahmenbedingungen korreliert. Parizipation an Entscheidungen, Feedback von Kollegen und Vorgesetzten, Kooperation unter Kollegen sowie Rollenklarheit sind positiv mit Arbeitsmotivation assoziert, das Erleben von Konkurrenz und Mobbing sind hingegen negativ assoziiert. Hinsichtlich Arbeitsrahmenbedingungen weist vor allem Arbeitsplatzsicherheit einen hohen Zusammenhang mit der Arbeitsmotivation auf, gefolgt von Einkommenszufriedenheit und Ausbildungsmöglichkeiten. [less ▲] Detailed reference viewed: 19 (1 UL)Localisation résidentielle de la population étrangère selon la nationalité et la structure urbaine au Luxembourg Pigeron-Piroth, Isabelle ; Heinz, Andreas ; Caruso, Geoffrey E-print/Working paper (2017) The number of foreigners living in Luxembourg is still rising and represents today about 48% of the inhabitants. This study focuses on the description and mapping of the place of residence for the ... [more ▼] The number of foreigners living in Luxembourg is still rising and represents today about 48% of the inhabitants. This study focuses on the description and mapping of the place of residence for the different nationalities living in Luxembourg. It seeks to underline differences through indicators built from the 2011 census data. We focus on the territorial distribution of the different nationalities by taking into account the urban structure and distance to jobs. If differences according to nationalities in the residential behavior of households can be empirically identified they may raise issues of spatial equity and (un)equal accessibility to job market. We analyse whether the geographic location of different nationalities in Luxembourg is linked to urbanisation level, the distance to the “poles d´emploi” or general accessibility to jobs. [less ▲] Detailed reference viewed: 23 (1 UL)Cross-border mergers and acquisitions: Evidence from Indochina Wolff, Christian E-print/Working paper (2017) Detailed reference viewed: 5 (0 UL)La restructuration des dettes publiques saisie par le droit de l'Union européenne Allemand, Frederic E-print/Working paper (2017) En juillet 2015, le sommet de la zone euro fait part de l'existence de "sérieux doutes" sur le caractère soutenable de la dette grecque. La possibilité d'un reprofilage de la dette est envisagé et sa ... [more ▼] En juillet 2015, le sommet de la zone euro fait part de l'existence de "sérieux doutes" sur le caractère soutenable de la dette grecque. La possibilité d'un reprofilage de la dette est envisagé et sa discussion reportée à la réalisation de la première évaluation des mesures d'ajustement mises en oeuvre par la Grèce. Toute décote nominale est cependant formellement exclue, car contraire au droit de l'Union. Les discussions se sont ouvertes au printemps 2016 sur les modalités d'allègement de la dette publique de la Grèce. Le sujet a été au coeur de la réunion de l'Eurogroupe du 22 mai. Aucun accord n'a été trouvé, mais les discussions continuent. Dans ce contexte, Frédéric Allemand a présenté le 17 mai dernier une communication sur la saisine des opérations de restructuration par le droit de l'Union lors du séminaire de recherche pluridisciplinaire "Les administrations publiques à l'épreuve de leur dette" organisé par Jean-François Boudet (Université Paris II) et Caroline Lequesne-Roth (Université de Nice). L'auteur conclut à la compétence de l'Union pour encadrer la restructuration des dettes publiques des États membres. [less ▲] Detailed reference viewed: 12 (0 UL)Understanding audit oversight transformation : ramifications of institutional work and the power of (de-)mythologizing ; Muessig, Anke E-print/Working paper (2017) This study investigates the dynamics that transformed audit oversight in Germany from an instrument, organized by the profession, to maintain international legitimacy into a regulatory regime that is ... [more ▼] This study investigates the dynamics that transformed audit oversight in Germany from an instrument, organized by the profession, to maintain international legitimacy into a regulatory regime that is integrated into the state apparatus. While prior research has focused on countries where the global demand for oversight structures overlapped with local pressures for regulatory reforms, we examine the diffusion of patterns of control within a context that is characterized by a strong mythologized belief in the German qualified statutory auditor and professional self-regulation. By analysing archival documents and interviews with key actors, we investigate through the lens of institutional work how initially the audit establishment maintained the existing self-regulatory logic despite, and because of, the implementation of formal independent oversight structures. We illustrate how the institutional work of small auditors aimed at disrupting the large audit firms’ field dominance unintentionally undermined the mythologized self-regulation. In doing so, we offer insights into how institutional myth is both constructed and dismantled. Our focus on multiple actors allows us to shed light on how parallel institutional work of distinct actors can lead to mutually effective and unintended institutional consequences. We argue that a successful institutional worker executes a combination of two basic types of work, which we refer to as existential and instrumental modes of work. Finally, comparing our findings with literature on audit oversight in other countries allows us to conceptualize audit oversight along a political-operational dimension and a public-private dimension. [less ▲] Detailed reference viewed: 11 (0 UL)Gesundheitsverhalten von Arbeitnehmern in Luxemburg Sischka, Philipp ; Steffgen, Georges E-print/Working paper (2017) Insbesonders unter den jüngeren Arbeitnehmern und unter den Arbeitnehmern mit geringer Bildung ist der Anteil der Raucher vergleichsweise hoch. Männliche und ältere Arbeitnehmer weisen wieder einen ... [more ▼] Insbesonders unter den jüngeren Arbeitnehmern und unter den Arbeitnehmern mit geringer Bildung ist der Anteil der Raucher vergleichsweise hoch. Männliche und ältere Arbeitnehmer weisen wieder einen vergleichsweise hohen Alkoholkonsum auf. Differenziert nach Berufsgruppen zeigen vor allem Arbeitnehmer in Handwerksberufen sowie Manager und Führungskräfte einen hohen Alkoholkonsum. Die Arbeitnehmer in der jüngsten Altersgruppe (16 bis 24 Jährige) schlafen durchschnittlich etwas länger, im Vergleich zu den älteren Arbeitnehmern. Außerdem ist die Sporthäufigkeit in der jüngsten Altersgruppe am höchsten. Männliche Arbeitnehmer sowie Arbeitnehmer ohne Partner oder ohne Kinder treiben ebenfalls überduchschnittlich häufig Sport. Etwa 17% der Arbeitnehmer leidet unter Adipositas. Knapp 30% der Arbeitnehmer leidet manchmal oder häufiger an gesundheitlichen Problemen. Unter den gesundheitlichen Problemen sind Rückenprobleme besonders häufig, gefolgt von Schlafschwierigkeiten und Kopfschmerzen. Herzprobleme sind dagegen eher selten ausgeprägt. Arbeitnehmer mit Hochschulabschluss sowie Manager und Führungskräfte sind seltener von Gesundheitsproblemen betroffen. Gesundheitliche Probleme sind insgesamt mit Zigarettenkonsum, Schlafstunden pro Tag, Sporthäufigkeit und Body Mass Index assoziiert: Je weniger geraucht wird, je mehr geschlafen und Sport getrieben wird und je geringer das körperliche Gewicht der Arbeitnehmer, desto weniger Gesundheitsprobleme liegen tendenziell vor. [less ▲] Detailed reference viewed: 24 (3 UL)Scaling evidence of the homothetic nature of cities Lemoy, Rémi ; Caruso, Geoffrey E-print/Working paper (2017) In this paper we analyse the profile of land use and population density with respect to the distance to the city centre for the European city. In addition to providing the radial population density and ... [more ▼] In this paper we analyse the profile of land use and population density with respect to the distance to the city centre for the European city. In addition to providing the radial population density and soil-sealing profiles for a large set of cities, we demonstrate a remarkable constancy of the profiles across city size. Our analysis combines the GMES/Copernicus Urban Atlas 2006 land use database at 5m resolu- tion for 300 European cities with more than 100.000 inhabitants and the Geostat population grid at 1km resolution. Population is allocated proportionally to surface and weighted by soil sealing and density classes of the Urban Atlas. We analyse the profile of each artificial land use and population with distance to the town hall. In line with earlier literature, we confirm the strong monocentricity of the European city and the negative exponential curve for population density. Moreover, we find that land use curves, in particular the share of housing and roads, scale along the two horizontal dimensions with the square root of city population, while population curves scale in three dimensions with the cubic root of city population. In short, European cities of different sizes are homothetic in terms of land use and population density. While earlier literature documented the scaling of average densities (total surface and population) with city size, we document the scaling of the whole radial distance profile with city size, thus liaising intra-urban radial analysis and systems of cities. In addition to providing a new empirical view of the European city, our scaling offers a set of practical and coherent definitions of a city, independent of its population, from which we can re-question urban scaling laws and Zipf’s law for cities. [less ▲] Detailed reference viewed: 18 (1 UL)Benelux, Europe and the Cold War, the power of non-powers Paravantis, Spero E-print/Working paper (2017) The conference “Benelux, Europe and the Cold War, the power of non-powers”, which took place on 30 and 31 March 2017 at the University of Luxembourg, was the first of three events planned in the FNR ... [more ▼] The conference “Benelux, Europe and the Cold War, the power of non-powers”, which took place on 30 and 31 March 2017 at the University of Luxembourg, was the first of three events planned in the FNR-funded CORE junior project “Benelux”, as part of its public outreach and academic output objectives. The conference sought to highlight asymmetrical power relations in the Cold War period of European integration by examining European security. What was/is European security in the context of the Cold War? How was and is it conceived? What role did “non-powers” play in European security, and how did they help define it? This conference investigated these and other related questions by re-examining the US/European relationship in the early Cold War and the role that developments during this period played in the European integration movement. In so doing, the conference also showcased findings which helped unify historiographies of the Cold War and European integration. [less ▲] Detailed reference viewed: 16 (1 UL)The maximum number of systoles for genus two Riemann surfaces with abelian differentials ; Parlier, Hugo E-print/Working paper (2017) This article explores the length and number of systoles associated to holomorphic $1$-forms on surfaces. In particular, we show that up to homotopy, there are at most $10$ systolic loops on such a genus ... [more ▼] This article explores the length and number of systoles associated to holomorphic $1$-forms on surfaces. In particular, we show that up to homotopy, there are at most $10$ systolic loops on such a genus two surface and that the bound is realized by a unique translation surface up to homothety. We also provide sharp upper bounds on the the number of homotopy classes of systoles for a holomorphic $1$-form with a single zero in terms of the genus. [less ▲] Detailed reference viewed: 22 (2 UL)Images of Galois representations in mod p Hecke algebras Amoros Carafi, Laia E-print/Working paper (2017) Detailed reference viewed: 18 (2 UL)C’était extrêmement violent» Il y a 100 ans, la révolution de Février a provoqué la fin de l’Empire russe Paravantis, Spero E-print/Working paper (2017) La révolution de Février, qui s'est déroulée du 8 mars (23 février) 1917 au 13 mars (28 février) 1917, marque le début de la révolution russe de 1917. Elle force l'abdication du tsar Nicolas II et ... [more ▼] La révolution de Février, qui s'est déroulée du 8 mars (23 février) 1917 au 13 mars (28 février) 1917, marque le début de la révolution russe de 1917. Elle force l'abdication du tsar Nicolas II et provoque la fin de l'Empire russe. Un gouvernement provisoire dirige, mais la même année, la révolution d'Octobre met au pouvoir des bolcheviks et permet la création de l'Union des républiques socialistes soviétiques (URSS). Le chercheur au «Centre for Contemporary and Digital History» à l’Université du Luxembourg, Dr. Spero S.Z. Paravantis nous détaille ce chapitre de l’histoire. [less ▲] Detailed reference viewed: 22 (8 UL)Wohlbefinden von Arbeitnehmern in Luxemburg Sischka, Philipp ; Steffgen, Georges E-print/Working paper (2017) Vergleicht man die Teilnehmer der Quality of Work Index Luxembourg Umfrage mit anderen europäischen Arbeitnehmern, zeigen die Teilnehmer aus Luxemburg im Durchschnitt ein geringeres Wohlbefinden ... [more ▼] Vergleicht man die Teilnehmer der Quality of Work Index Luxembourg Umfrage mit anderen europäischen Arbeitnehmern, zeigen die Teilnehmer aus Luxemburg im Durchschnitt ein geringeres Wohlbefinden. Insbesondere jüngere Arbeitnehmer weisen ein tendenziell geringeres Wohlbefinden auf. Differenziert man die Arbeitnehmer nach Berufsgruppen, zeigen Manager und Führungskräfte, Arbeitnehmer in Dienstleistungsberufen sowie Hilfsarbeitskräfte das höchste Wohlbefinden. Arbeitnehmer mit geringeren faktischen Wochenstundenzahlen sowie Arbeitnehmer, die in kleinen Betrieben (1-4 Beschäftigte) arbeiten, berichten über ein höheres Wohlbefinden. Das Wohlbefinden ist hierbei nachweislich mit unterschiedlichen Arbeitsbedingungen assoziiert. So weisen Arbeitnehmer, je höher ihre Partizipation, ihre Rollenklarheit bei der Arbeit sowie ihre Arbeitsplatzsicherheit ist umso ein höheres Wohlbefinden auf. Das Wohlbefinden ist außerdem positiv mit Arbeitszufriedenheit, wahrgenommenem Respekt bei der Arbeit und negativ mit Stress und Burnout korreliert. [less ▲] Detailed reference viewed: 31 (9 UL)How did the ECB become a fully-fledged central bank of the eurozone? Gren, Jakub E-print/Working paper (2017) Detailed reference viewed: 55 (4 UL)Evaluating How Child Allowances and Daycare Subsidies Affect Fertility ; Koulovatianos, Christos ; et al E-print/Working paper (2017) We compare the cost effectiveness of two pronatalist policies: (a) child allowances; and (b) daycare subsidies. We pay special attention to estimating how intended fertility (fertility before children are ... [more ▼] We compare the cost effectiveness of two pronatalist policies: (a) child allowances; and (b) daycare subsidies. We pay special attention to estimating how intended fertility (fertility before children are born) responds to these policies. We use two evaluation tools: (i) a dynamic model on fertility, labor supply, outsourced childcare time, parental time, asset accumulation and consumption; and (ii) randomized vignette-survey policy experiments. We implement both tools in the United States and Germany, finding consistent evidence that daycare subsidies are more cost effective. Nevertheless, the required public expenditure to increase fertility to the replacement level might be viewed as prohibitively high. [less ▲] Detailed reference viewed: 23 (3 UL)Bayesian inference for the stochastic identification of elastoplastic material parameters: Introduction, misconceptions and insights Rappel, Hussein ; Beex, Lars ; Hale, Jack et al E-print/Working paper (2017) We discuss Bayesian inference (BI) for the probabilistic identification of material parameters. This contribution aims to shed light on the use of BI for the identification of elastoplastic material ... [more ▼] We discuss Bayesian inference (BI) for the probabilistic identification of material parameters. This contribution aims to shed light on the use of BI for the identification of elastoplastic material parameters. For this purpose a single spring is considered, for which the stress-strain curves are artificially created. Besides offering a didactic introduction to BI, this paper proposes an approach to incorporate statistical errors both in the measured stresses, and in the measured strains. It is assumed that the uncertainty is only due to measurement errors and the material is homogeneous. Furthermore, a number of possible misconceptions on BI are highlighted based on the purely elastic case. [less ▲] Detailed reference viewed: 177 (50 UL)Institutional Determinants of Early Job Insecurity in Nine European Countries: Country Report Switzerland ; ; et al E-print/Working paper (2017) An overview of institutional determinants of early job insecurity in Switzerland. Detailed reference viewed: 9 (3 UL)Chromatic numbers for the hyperbolic plane and discrete analogs Parlier, Hugo ; E-print/Working paper (2017) We study colorings of the hyperbolic plane, analogously to the Hadwiger-Nelson problem for the Euclidean plane. The idea is to color points using the minimum number of colors such that no two points at ... [more ▼] We study colorings of the hyperbolic plane, analogously to the Hadwiger-Nelson problem for the Euclidean plane. The idea is to color points using the minimum number of colors such that no two points at distance exactly $d$ are of the same color. The problem depends on $d$ and, following a strategy of Kloeckner, we show linear upper bounds on the necessary number of colors. In parallel, we study the same problem on $q$-regular trees and show analogous results. For both settings, we also consider a variant which consists in replacing $d$ with an interval of distances. [less ▲] Detailed reference viewed: 14 (1 UL)The Turkish State of Emergency Under Turkish Constitutional Law and International Human Rights Law Baglayan Ceyhan, Basak E-print/Working paper (2017) Detailed reference viewed: 53 (1 UL)Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations ; ; et al E-print/Working paper (2017) We develop a variational theory of geodesics for the canonical variation of the metric of a totally geodesic foliation. As a consequence, we obtain comparison theorems for the horizontal and vertical ... [more ▼] We develop a variational theory of geodesics for the canonical variation of the metric of a totally geodesic foliation. As a consequence, we obtain comparison theorems for the horizontal and vertical Laplacians. In the case of Sasakian foliations, we show that sharp horizontal and vertical comparison theorems for the sub-Riemannian distance may be obtained as a limit of horizontal and vertical comparison theorems for the Riemannian distances approximations. [less ▲] Detailed reference viewed: 16 (3 UL)Freeness characterisations on free chaos spaces Bourguin, Solesne ; Nourdin, Ivan E-print/Working paper (2017) Detailed reference viewed: 13 (0 UL)Constant mean curvature foliation of globally hyperbolic (2+1)-spacetime with particles ; Tamburelli, Andrea E-print/Working paper (2017) Let M be a globally hyperbolic maximal compact 3-dimensional spacetime locally modelled on Minkowski, anti-de Sitter or de Sitter space. It is well known that M admits a unique foliation by constant mean ... [more ▼] Let M be a globally hyperbolic maximal compact 3-dimensional spacetime locally modelled on Minkowski, anti-de Sitter or de Sitter space. It is well known that M admits a unique foliation by constant mean curvature surfaces. In this paper we extend this result to singular spacetimes with particles (cone singularities of angles less than π along time-like geodesics). [less ▲] Detailed reference viewed: 14 (0 UL)Quantitative C1-estimates by Bismut formulae Cheng, Li Juan ; Thalmaier, Anton ; Thompson, James E-print/Working paper (2017) For a C2 function u and an elliptic operator L, we prove a quantitative estimate for the derivative du in terms of local bounds on u and Lu. An integral version of this estimate is then used to derive a ... [more ▼] For a C2 function u and an elliptic operator L, we prove a quantitative estimate for the derivative du in terms of local bounds on u and Lu. An integral version of this estimate is then used to derive a condition for the zero-mean value property of Δu. An extension to differential forms is also given. Our approach is probabilistic and could easily be adapted to other settings. [less ▲] Detailed reference viewed: 48 (6 UL)Deformations of pre-symplectic structures and the Koszul L-infty-algebra Schätz, Florian ; E-print/Working paper (2017) We study the deformation theory of pre-symplectic structures, i.e. closed two-forms of fixed rank. The main result is a parametrization of nearby deformations of a given pre-symplectic structure in terms ... [more ▼] We study the deformation theory of pre-symplectic structures, i.e. closed two-forms of fixed rank. The main result is a parametrization of nearby deformations of a given pre-symplectic structure in terms of an $L_\infty$-algebra, which we call the Koszul $L_\infty$-algebra. This $L_\infty$-algebra is a cousin of the Koszul dg Lie algebra associated to a Poisson manifold, and its proper geometric understanding relies on Dirac geometry. In addition, we show that a quotient of the Koszul $L_{\infty}$-algebra is isomorphic to the $L_\infty$-algebra which controls the deformations of the underlying characteristic foliation. Finally, we show that the infinitesimal deformations of pre-symplectic structures and of foliations are both obstructed. [less ▲] Detailed reference viewed: 5 (0 UL)On the fourth moment condition for Rademacher chaos Döbler, Christian ; E-print/Working paper (2017) Detailed reference viewed: 21 (1 UL)The Spectrum Of De Novo Variants In Neurodevelopmental Disorders With Epilepsy ; ; et al E-print/Working paper (2017) Neurodevelopmental disorders (NDD) with epilepsy constitute a complex and heterogeneous phenotypic spectrum of largely unclear genetic architecture. We conducted exome-wide enrichment analyses for protein ... [more ▼] Neurodevelopmental disorders (NDD) with epilepsy constitute a complex and heterogeneous phenotypic spectrum of largely unclear genetic architecture. We conducted exome-wide enrichment analyses for protein-altering de novo variants (DNV) in 7088 parent-offspring trios with NDD of which 2151 were comorbid with epilepsy. In this cohort, the genetic spectrum of epileptic encephalopathy (EE) and nonspecific NDD with epilepsy were markedly similar. We identified 33 genes significantly enriched for DNV in NDD with epilepsy, of which 27.3 were associated with therapeutic consequences. These 33 DNV-enriched genes were more often associated with synaptic transmission but less with chromatin modification when compared to NDD without epilepsy. On average, only 53 of the DNV-enriched genes were represented on available diagnostic sequencing panels, so our findings should drive significant improvements of genetic testing approaches. [less ▲] Detailed reference viewed: 65 (2 UL)Identifying individual rights in EU law Hofmann, Herwig ; Warin, Catherine E-print/Working paper (2017) Detailed reference viewed: 22 (3 UL)Explaining employers’ hiring decisions: A comparative study of employers’ risk assessment ; ; et al E-print/Working paper (2017) In order to investigate the scarring effect of early job insecurity on future employment chances we have implemented a factorial survey experiment with recruiters based on real vacancies in Bulgaria ... [more ▼] In order to investigate the scarring effect of early job insecurity on future employment chances we have implemented a factorial survey experiment with recruiters based on real vacancies in Bulgaria, Greece, Norway and Switzerland. We contribute to recruitment research at least in three ways: First, the multinational design allows us to run comparative analysis across countries, which are carried out along the national dimensions youth unemployment rate, employment protection regulation and type of educational system. Second, we differentiate between two different forms of early job insecurity – unemployment and work experience in deskilling jobs, and we demonstrate that the sole focus on unemployment, as it is the case in the prevalent labour market research, is not sufficient in order to fully understand labour market outcomes caused by different forms of job insecurities. Third, since our sample consists of real recruiters who were hiring for current jobs at the time when the study was carried out, we provide a unique cross-country data set of high external validity. Our findings suggest that scarring effects of early job insecurity vary across countries and across occupational fields, and while scarring caused by work experience in deskilling jobs seems to be enforced by strong employment protection regulations, unemployment scarring seems to stronger where national unemployment is low. Further, the differences in recruiter’s evaluation across occupational fields indicate that signalling value of education may vary depending on specific sectors. Not at least, we contribute to debates around active labour market policies, arguing that measures aiming at quick labour market reintegration without consideration of job quality may not be the most sustainable solution, as work experience in a deskilling job does not lead to better recruiter’s evaluation. [less ▲] Detailed reference viewed: 55 (2 UL)Integrated likelihood based inference for nonlinear panel data models with unobserved effects Schumann, Martin ; ; Tripathi, Gautam E-print/Working paper (2017) Detailed reference viewed: 30 (2 UL)Monotonicity of probit weights ; Tripathi, Gautam E-print/Working paper (2017) Detailed reference viewed: 11 (1 UL)Fourth moment theorems on The Poisson space in any dimension Döbler, Christian ; Vidotto, Anna ; Zheng, Guangqu E-print/Working paper (2017) Detailed reference viewed: 31 (2 UL)Asymptotic distribution of nodal intersections for arithmetic random waves Rossi, Maurizia ; E-print/Working paper (2017) Detailed reference viewed: 17 (0 UL)Eulerian idempotent, pre-Lie logarithm and combinatorics of trees ; Schätz, Florian E-print/Working paper (2017) The aim of this paper is to bring together the three objects in the title. Recall that, given a Lie algebra g, the Eulerian idempotent is a canonical projection from the enveloping algebra U(g) to g. The ... [more ▼] The aim of this paper is to bring together the three objects in the title. Recall that, given a Lie algebra g, the Eulerian idempotent is a canonical projection from the enveloping algebra U(g) to g. The Baker-Campbell-Hausdorff product and the Magnus expansion can both be expressed in terms of the Eulerian idempotent, which makes it interesting to establish explicit formulas for the latter. We show how to reduce the computation of the Eulerian idempotent to the computation of a logarithm in a certain pre-Lie algebra of planar, binary, rooted trees. The problem of finding formulas for the pre-Lie logarithm, which is interesting in its own right – being related to operad theory, numerical analysis and renormalization – is addressed using techniques inspired by umbral calculus. As a consequence of our analysis, we find formulas both for the Eulerian idempotent and the pre-Lie logarithm in terms of the combinatorics of trees. [less ▲] Detailed reference viewed: 10 (0 UL)The fourth moment theorem on the Poisson space Döbler, Christian ; Peccati, Giovanni E-print/Working paper (2017) Detailed reference viewed: 62 (5 UL)Liberté de circulation des personnes : citoyenneté de mouvement, citoyenneté en mouvement Warin, Catherine E-print/Working paper (2017) Detailed reference viewed: 7 (1 UL)Reassessment Of Lesion-Associated Gene And Variant Pathogenicity In Focal Human Epilepsies ; ; May, Patrick et al E-print/Working paper (2017) Purpose: Increasing availability of surgically resected brain tissue from Focal Cortical Dysplasia and low-grade epilepsy-associated tumor patients fostered large-scale genetic examination. However ... [more ▼] Purpose: Increasing availability of surgically resected brain tissue from Focal Cortical Dysplasia and low-grade epilepsy-associated tumor patients fostered large-scale genetic examination. However, assessment of germline and somatic variant pathogenicity remains difficult. Methods: Here, we critically reevaluated the pathogenicity for all neuropathology-associated variants reported to date in the PubMed and ClinVar databases, including 12 disease-related genes and 88 neuropathology-associated missense variants. We (1) assessed evolutionary gene constraint using the pLI and missense z scores, (2) applied guidelines by the American College of Medical Genetics and Genomics (ACMG), and (3) predicted pathogenicity by using PolyPhen-2, CADD, and GERP. Results: Constraint analysis classified only seven out of 12 genes to be likely disease-associated, while 35 (40\%) of those 88 variants were classified as being variants of unknown significance (VUS) and 53 (60\%) as being likely pathogenic (LPII). Pathogenicity prediction yielded discrimination between neuropathology-associated variants (LPII and VUS) and rare variant scores obtained from individuals present in the Genome Aggregation Database (gnomAD). Conclusion: We conclude that several VUS are likely disease-associated and will be reclassified by future molecular evidence. In summary, interpretation of lesion-associated gene variants remains complex while the application of current ACMG guidelines including bioinformatic pathogenicity prediction will help improving interpretation and prediction. [less ▲] Detailed reference viewed: 24 (1 UL)Derivative and divergence formulae for diffusion semigroups Thalmaier, Anton ; Thompson, James E-print/Working paper (2017) Detailed reference viewed: 99 (25 UL)Conformal actions of real-rank 1 simple Lie groups on pseudo-Riemannian manifolds Pecastaing, Vincent E-print/Working paper (2017) Given a simple Lie group G of rank 1, we consider compact pseudo-Riemannian manifolds (M,g) of signature (p,q) on which G can act conformally. Precisely, we determine the smallest possible value for the ... [more ▼] Given a simple Lie group G of rank 1, we consider compact pseudo-Riemannian manifolds (M,g) of signature (p,q) on which G can act conformally. Precisely, we determine the smallest possible value for the index min(p,q) of the metric. When the index is optimal and G non-exceptional, we prove that the metric must be conformally flat, confirming the idea that in a "good" dynamical context, a geometry is determined by its automorphisms group. This completes anterior investigations on pseudo-Riemannian conformal actions of semi-simple Lie groups of maximal real-rank. Combined with these results, we obtain as corollary the list of semi-simple Lie groups without compact factor that can act on compact Lorentzian manifolds. We also derive consequences in CR geometry via the Fefferman fibration. [less ▲] Detailed reference viewed: 12 (3 UL)La grande région SaarLorLux, riche de ses travailleurs frontaliers Pigeron-Piroth, Isabelle ; E-print/Working paper (2016) Detailed reference viewed: 23 (2 UL)Fractional charge oscillations in quantum spin Hall quantum dots ; ; Dolcetto, Giacomo et al E-print/Working paper (2016) We show that correlated two-particle backscattering can induce fractional charge oscillations in a quantum dot built at the edge of a two-dimensional topological insulator by means of magnetic barriers ... [more ▼] We show that correlated two-particle backscattering can induce fractional charge oscillations in a quantum dot built at the edge of a two-dimensional topological insulator by means of magnetic barriers. The result nicely complements recent works where the fractional oscillations were obtained employing of semiclassical treatments. Moreover, since by rotating the magnetization of the barriers a fractional charge can be trapped in the dot via the Jackiw-Rebbi mechanism, the system we analyze offers the opportunity to study the interplay between this noninteracting charge fractionalization and the fractionalization due to two-particle backscattering. In this context, we demonstrate that the number of fractional oscillations of the charge density depends on the magnetization angle. Finally, we address the renormalization induced by two-particle backscattering on the spin density, which is characterized by a dominant oscillation, sensitive to the Jackiw-Rebbi charge, with a wavelength twice as large as the charge density oscillations. [less ▲] Detailed reference viewed: 9 (2 UL)Une minorité de citoyens reste nostalgique Paravantis, Spero E-print/Working paper (2016) Au cours de l’automne 1991, les républiques constituantes de l’Union soviétique proclamaient, l’une après l’autre, leur indépendance. Il y a 25 ans, avec la création de la Communauté des États ... [more ▼] Au cours de l’automne 1991, les républiques constituantes de l’Union soviétique proclamaient, l’une après l’autre, leur indépendance. Il y a 25 ans, avec la création de la Communauté des États indépendants (CEI), la superpuissance URSS a cessé d’exister d’un jour à l’autre. Dr. Spero S.Z. Paravantis de l’Université du Luxembourg revient sur ce grand chapitre de l’histoire. [less ▲] Detailed reference viewed: 24 (5 UL)The Gamma Stein equation and non-central de Jong theorems Döbler, Christian ; Peccati, Giovanni E-print/Working paper (2016) Detailed reference viewed: 25 (2 UL)Counting curves, and the stable length of currents ; Parlier, Hugo ; E-print/Working paper (2016) Let $\gamma_0$ be a curve on a surface $\Sigma$ of genus $g$ and with $r$ boundary components and let $\pi_1(\Sigma)\curvearrowright X$ be a discrete and cocompact action on some metric space. We study ... [more ▼] Let $\gamma_0$ be a curve on a surface $\Sigma$ of genus $g$ and with $r$ boundary components and let $\pi_1(\Sigma)\curvearrowright X$ be a discrete and cocompact action on some metric space. We study the asymptotic behavior of the number of curves $\gamma$ of type $\gamma_0$ with translation length at most $L$ on $X$. For example, as an application, we derive that for any finite generating set $S$ of $\pi_1(\Sigma)$ the limit $$\lim_{L\to\infty}\frac 1{L^{6g-6+2r}}\{\gamma\text{ of type }\gamma_0\text{ with }S\text{-translation length}\le L\}$$ exists and is positive. The main new technical tool is that the function which associates to each curve its stable length with respect to the action on $X$ extends to a (unique) continuous and homogenous function on the space of currents. We prove that this is indeed the case for any action of a torsion free hyperbolic group. [less ▲] Detailed reference viewed: 7 (0 UL)Enterprise credit, household credit and growth: New evidence from 126 countries Leon, Florian E-print/Working paper (2016) This paper attempts to distinguish the effects of household and enterprise credit on economic growth. To do so, I create a new, hand-collected database covering 143 countries over the period 1995-2014 ... [more ▼] This paper attempts to distinguish the effects of household and enterprise credit on economic growth. To do so, I create a new, hand-collected database covering 143 countries over the period 1995-2014 (126 countries are employed for econometric analysis). Estimation results confirm recent evidence documenting the absence of the effect of total credit to growth. Findings also show that household credit has a negative effect on growth, but I fail to provide robust support for a positive effect of business credit. [less ▲] Detailed reference viewed: 64 (9 UL)Arbeitszeitflexibilität in Luxemburg Sischka, Philipp ; Steffgen, Georges E-print/Working paper (2016) Männliche Arbeitnehmer weisen im Vergleich zu weiblichen Arbeitnehmern eine höhere Differenz zwischen vertraglich vereinbarter und faktischer Wochenarbeitszeit auf. Differenziert nach Berufsgruppen zeigt ... [more ▼] Männliche Arbeitnehmer weisen im Vergleich zu weiblichen Arbeitnehmern eine höhere Differenz zwischen vertraglich vereinbarter und faktischer Wochenarbeitszeit auf. Differenziert nach Berufsgruppen zeigt sich, dass inbesondere Manager sowie Führungskräfte deutlich mehr arbeiten, als vertraglich festgelegt. Atypische Arbeitszeiten (nach 19 Uhr, nach 22 Uhr oder am Wochenende) treten dagegen insbesondere bei jüngeren Arbeitnehmern (bis 44 Jahre) häufiger auf. Auch zeigen sich hier große Unterschiede über die Berufsgruppen hinweg. Für die Mehrheit der Arbeitnehmer entspricht die vertraglich vereinbarte Stundenzahl ihren Wünschen. Jedoch ist bei den jüngeren Arbeitnehmern der Anteil der Personen, die sich einen Vertrag mit mehr bezahlten Stunden wünschen deutlich höher. Differenziert nach Berufsgruppen äußern vor allem Hilfsarbeitskräfte sowie Arbeitnehmer in Dienstleistungs- und Handwerksberufen den Wunsch mehr bezahlte Stunden zu arbeiten. Die Arbeitszeitbedingungen der Arbeitnehmer weisen auch Zusammenhänge mit erlebten Work-Life-Konflikten, Zeitdruck, Stress und Arbeitszufriedenheit auf. Die Arbeitszeitbedingungen sind außerdem assoziiert mit nächtlichen Schlafstunden sowie mit der Gefährdung durch Burnout. Arbeitnehmer, die 46 Stunden und mehr arbeiten, die häufig atypische Arbeitszeiten haben, oder deren faktische Arbeitszeit stark von der vertraglich vereinbarten Arbeitszeit abweicht, erleben stärker Work-Life-Konflikte, Zeitdruck sowie Stress, geben jedoch eine geringere Arbeitszufriedenheit an, schlafen weniger und weisen eher Burnout auf. [less ▲] Detailed reference viewed: 17 (6 UL)Interrogating surface length spectra and quantifying isospectrality Parlier, Hugo E-print/Working paper (2016) This article is about inverse spectral problems for hyperbolic surfaces and in particular how length spectra relate to the geometry of the underlying surface. A quantitative answer is given to the ... [more ▼] This article is about inverse spectral problems for hyperbolic surfaces and in particular how length spectra relate to the geometry of the underlying surface. A quantitative answer is given to the following: how many questions do you need to ask a length spectrum to determine it completely? In answering this, a quantitative upper bound is given on the number of isospectral but non-isometric surfaces of a given genus. [less ▲] Detailed reference viewed: 9 (0 UL)Beziehungen – Liens Relationnels. Realitäten, Perspektiven, Grenzen – réalités, perspectives et limites. Bericht zu einer Befragung von Mitarbeiterinnen und Jugendlichen bei Solidarité Jeunes 2016 Peters, Ulla ; Jäger, Julia E-print/Working paper (2016) Solidarité Jeunes asbl in Luxemburg hat eine Befragung zum Thema Beziehungen bei den Professionellen und Jugendlichen in ihren Einrichtungen durchgeführt. Sie beauftragten die Universität damit, die ... [more ▼] Solidarité Jeunes asbl in Luxemburg hat eine Befragung zum Thema Beziehungen bei den Professionellen und Jugendlichen in ihren Einrichtungen durchgeführt. Sie beauftragten die Universität damit, die Ergebnisse aufzubereiten, zu verschriftlichen und bei einer Fachtagung zum 40-jährigen Bestehen des Trägers (bis 2012 Jongenheem asbl) im September 2016 zu präsentieren. Der Fragebogen enthielt Fragen zu den Themen: was verstehen die Jugendlichen und die Professionellen unter einer guten Beziehung, wie gestalten sie diese, welche Rituale gibt es z. B. beim Abschied von Jugendlichen und wie wird dieser vorbereitet. Eine Frage war auch, ob und welche Art von Kontakte nach dem Verlassen der Einrichtung bestehen und für wichtig gehalten werden. Die Befragung basierte auf der Annahme und der Erfahrung, dass Beziehungen ein Schlüsselfaktor und Fundament jeder erfolgreichen pädagogischen Interven- tion sind und damit auch ein zentrales „Arbeitsmittel“. [less ▲] Detailed reference viewed: 61 (3 UL)Understanding unemployment scars: A vignette Experiment of employers' decisions in Bulgaria, Greece, Norway and Switzerland ; ; et al E-print/Working paper (2016) Detailed reference viewed: 30 (4 UL)Isogeometric finite element analysis of time-harmonic exterior acoustic scattering problems ; ; Bordas, Stéphane E-print/Working paper (2016) We present an isogeometric analysis of time-harmonic exterior acoustic problems. The infinite space is truncated by a fictitious boundary and (simple) absorbing boundary conditions are applied. The ... [more ▼] We present an isogeometric analysis of time-harmonic exterior acoustic problems. The infinite space is truncated by a fictitious boundary and (simple) absorbing boundary conditions are applied. The truncation error is included in the exact solution so that the reported error is an indicator of the performance of the isogeometric analysis, in particular of the related pollution error. Numerical results performed with high-order basis functions (third or fourth orders) showed no visible pollution error even for very high frequencies. This property combined with exact geometrical representation makes isogeometric analysis a very promising platform to solve high-frequency acoustic problems. [less ▲] Detailed reference viewed: 57 (11 UL)Geometric filling curves on surfaces ; Parlier, Hugo ; E-print/Working paper (2016) This note is about a type of quantitative density of closed geodesics on closed hyperbolic surfaces. The main results are upper bounds on the length of the shortest closed geodesic that $\varepsilon ... [more ▼] This note is about a type of quantitative density of closed geodesics on closed hyperbolic surfaces. The main results are upper bounds on the length of the shortest closed geodesic that $\varepsilon$-fills the surface. [less ▲] Detailed reference viewed: 14 (0 UL)Constant Gauss curvature foliations of AdS spacetimes with particles Schlenker, Jean-Marc ; E-print/Working paper (2016) We prove that for any convex globally hyperbolic maximal (GHM) anti-de Sitter (AdS) 3-dimensional space-time N with particles (cone singularities of angles less than π along time-like curves), the ... [more ▼] We prove that for any convex globally hyperbolic maximal (GHM) anti-de Sitter (AdS) 3-dimensional space-time N with particles (cone singularities of angles less than π along time-like curves), the complement of the convex core in N admits a unique foliation by constant Gauss curvature surfaces. This extends, and provides a new proof of, a result of \cite{BBZ2}. We also describe a parametrization of the space of convex GHM AdS metrics on a given manifold, with particles of given angles, by the product of two copies of the Teichm\"uller space of hyperbolic metrics with cone singularities of fixed angles. Finally, we use the results on K-surfaces to extend to hyperbolic surfaces with cone singularities of angles less than π a number of results concerning landslides, which are smoother analogs of earthquakes sharing some of their key properties. [less ▲] Detailed reference viewed: 8 (0 UL)Financial Constraint, Entrepreneurship and Sectoral Migrations Leon, Florian ; E-print/Working paper (2016) Using an original database of over 3,000 micro and small enterprises (MSEs) that were microfinance institution (MFI) clients in Madagascar over the period of 2008-2014, we observe that around one third of ... [more ▼] Using an original database of over 3,000 micro and small enterprises (MSEs) that were microfinance institution (MFI) clients in Madagascar over the period of 2008-2014, we observe that around one third of these entrepreneurs switched business sectors in the first five years after starting their business. We find that the probability of an entrepreneur’s changing sectors is highly correlated with the size of the first loan obtained from the MFI. This result survives multiple robustness checks, including treatment for endogeneity and attrition. We interpret this finding in terms of financial constraint: a lack of financing prevents an entrepreneur from initially investing in his first choice sector, causing him to change sectors only when he has become financially able to do so. This result challenges the classic distinction made between ”necessity entrepreneurs” and ”opportunity entrepreneurs” and raises important questions concerning entrepreneurial talent allocation. [less ▲] Detailed reference viewed: 73 (6 UL)Intertwining operators of the quantum Teichmüller space Mazzoli, Filippo E-print/Working paper (2016) Detailed reference viewed: 42 (7 UL)Short closed geodesics with self-intersections ; Parlier, Hugo E-print/Working paper (2016) Our main point of focus is the set of closed geodesics on hyperbolic surfaces. For any fixed integer $k$, we are interested in the set of all closed geodesics with at least $k$ (but possibly more) self ... [more ▼] Our main point of focus is the set of closed geodesics on hyperbolic surfaces. For any fixed integer $k$, we are interested in the set of all closed geodesics with at least $k$ (but possibly more) self-intersections. Among these, we consider those of minimal length and investigate their self-intersection numbers. We prove that their intersection numbers are upper bounded by a universal linear function in $k$ (which holds for any hyperbolic surface). Moreover, in the presence of cusps, we get bounds which imply that the self-intersection numbers behave asymptotically like $k$ for growing $k$. [less ▲] Detailed reference viewed: 11 (0 UL)The effects of Assortative Matching on Job and Marital Satisfaction through University Attendance Joxhe, Majlinda ; E-print/Working paper (2016) This paper examines how the decision to acquire higher education may affect job and marital satisfaction. We propose a theoretical model where individuals decide whether to attend university both for ... [more ▼] This paper examines how the decision to acquire higher education may affect job and marital satisfaction. We propose a theoretical model where individuals decide whether to attend university both for obtaining higher job satisfaction and for meeting potential partners. As the probability of marrying an educated partner increases (due to positive educational assortative matching), the average ability of university students falls, since more (low ability) students are willing to attend university. Two effects can be withdrawn: (i) average job satisfaction decreases, while (ii) marital satisfaction increases. We then test the model using the British Household Panel Survey for years 1996-2008, using a dynamic bivariate model. Consistent with the theoretical predictions, we find that higher education is correlated with lower average job satisfaction. In addition, the higher education of the partner increases marital satisfaction. [less ▲] Detailed reference viewed: 18 (3 UL)Centralizers of irreducible subgroups in the projective special linear group Guerin, Clément E-print/Working paper (2016) In this paper, we classify conjugacy classes of centralizers of irreducible subgroups in $PSL(n,\mathbb{C})$ using alternate modules a.k.a. finite abelian groups with an alternate bilinear form. When $n ... [more ▼] In this paper, we classify conjugacy classes of centralizers of irreducible subgroups in $PSL(n,\mathbb{C})$ using alternate modules a.k.a. finite abelian groups with an alternate bilinear form. When $n$ is squarefree, we prove that these conjugacy classes are classified by their isomorphism classes. More generally, we define a finite graph related to this classification whose combinatorial properties are expected to help us describe the stratification of the singular (orbifold) locus in some character varieties. [less ▲] Detailed reference viewed: 37 (1 UL)Mumford curves covering p-adic Shimura curves and their fundamental domains Amoros Carafi, Laia ; E-print/Working paper (2016) We give an explicit description of fundamental domains associated to the p-adic uniformisa- tion of families of Shimura curves of discriminant Dp and level N ≥ 1, for which the one-sided ideal class ... [more ▼] We give an explicit description of fundamental domains associated to the p-adic uniformisa- tion of families of Shimura curves of discriminant Dp and level N ≥ 1, for which the one-sided ideal class number h(D,N) is 1. The obtained results generalise those in [19, Ch. IX] for Shimura curves of discriminant 2p and level N = 1. The method we present here enables us to find Mumford curves covering Shimura curves, together with a free system of generators for the associated Schottky groups, p-adic good fundamental domains and their stable reduction- graphs. This is based on a detailed study of the modular arithmetic of an Eichler order of level N inside the definite quaternion algebra of discriminant D, for which we generalise classical results of Hurwitz [20]. As an application, we prove general formulas for the reduction-graphs with lengths at p of the considered families of Shimura curves. [less ▲] Detailed reference viewed: 18 (2 UL)Distances in domino flip graphs Parlier, Hugo ; E-print/Working paper (2016) This article is about measuring and visualizing distances between domino tilings. Given two tilings of a simply connected square tiled surface, we're interested in the minimum number of flips between two ... [more ▼] This article is about measuring and visualizing distances between domino tilings. Given two tilings of a simply connected square tiled surface, we're interested in the minimum number of flips between two tilings. Given a certain shape, we're interested in computing the diameters of the flip graphs, meaning the maximal distance between any two of its tilings. Building on work of Thurston and others, we give geometric interpretations of distances which result in formulas for the diameters of the flip graphs of rectangles or Aztec diamonds. [less ▲] Detailed reference viewed: 10 (2 UL)Equilibrium and first-best city with endogenous exposure to local air pollution from traffic Schindler, Mirjam ; Caruso, Geoffrey ; Picard, Pierre M E-print/Working paper (2016) Exposure to urban traffic-induced air pollution is a major health concern of cities. This paper analyzes the urban structure when localized pollution exposure arises from commuting traffic and ... [more ▼] Exposure to urban traffic-induced air pollution is a major health concern of cities. This paper analyzes the urban structure when localized pollution exposure arises from commuting traffic and investigates the feedback effect of endogenous pollution on residential choices. The presence of stronger traffic-induced air pollution exposure reduces the geographical extent and the population of cities. Land rents fall with distance from the city center while population densities may be non-monotonic. Cleaner vehicle technologies reduce pollution exposure everywhere, increase population and density everywhere and do not affect the spatial extent of the city. The paper compares the urban equilibrium with the first-best. The first-best structure is a less expanded city with higher densities at the center and lower densities at the fringe. [less ▲] Detailed reference viewed: 47 (16 UL)Remit for what? The Impact of Information Asymmetries in Transnational Households Joxhe, Majlinda ; E-print/Working paper (2016) The main purpose of this paper is to check whether information asymmetry may affect the allocation of a given budget between in-kind consumption-type goods and in-kind investment-type choices. In order to ... [more ▼] The main purpose of this paper is to check whether information asymmetry may affect the allocation of a given budget between in-kind consumption-type goods and in-kind investment-type choices. In order to test the model, we use the results of a lab-in-the-field experiment where migrants engage in a dictator game and are asked to earmark a given budget between consumption and investment goods to be delivered to the most closely connected household (MCCH). Three different scenarios of information sharing with the MCCH on the choices made by the migrant are considered – private information, full information sharing and information sharing with a social excuse for investment goods. Empirical results confirm that under private information investment goods are preferred, whereas under full information sharing we observe a significant bias towards consumption goods (about 70 euros more out of a total budget value of 1000 euros, i.e. 7%). This behavior under different information sharing scenarios may be interpreted as evidence of self-interest motives to remit rather than pure altruism. [less ▲] Detailed reference viewed: 31 (7 UL)Where in cities do "rich" and "poor" people live? The urban economics model revisited Lemoy, Rémi E-print/Working paper (2016) In this work, we exploit the power of the Alonso-Mills-Muth (AMM) urban economics model and show that various utility functions and plausible conditions offer alternative explanations of house- holds’ ... [more ▼] In this work, we exploit the power of the Alonso-Mills-Muth (AMM) urban economics model and show that various utility functions and plausible conditions offer alternative explanations of house- holds’ location by income within a city. These include the existence of a “rich” center and more complex socio-spatial urban forms, for instance alternating a rich center, poor suburbs and a rich outer ring, which have not yet been derived from the AMM model to our knowledge. In doing so we combine analytical ideas and illustrations by the means of an agent-based model. The hypothesis of a central or non-central amenity is also studied, leading to different insights on the issue. [less ▲] Detailed reference viewed: 13 (2 UL)Phase singularities in complex arithmetic random waves ; Nourdin, Ivan ; Peccati, Giovanni et al E-print/Working paper (2016) Detailed reference viewed: 43 (3 UL)Turkey declares state of emergency and derogates from ECHR after failed coup d’état Baglayan Ceyhan, Basak E-print/Working paper (2016) Detailed reference viewed: 56 (5 UL)Context-based Pseudonym Changing Scheme for Vehicular Adhoc Networks Emara, Karim Ahmed Awad El-Sayed ; ; E-print/Working paper (2016) Vehicular adhoc networks allow vehicles to share their information for safety and traffic efficiency. However, sharing information may threaten the driver privacy because it includes spatiotemporal ... [more ▼] Vehicular adhoc networks allow vehicles to share their information for safety and traffic efficiency. However, sharing information may threaten the driver privacy because it includes spatiotemporal information and is broadcast publicly and periodically. In this paper, we propose a context-adaptive pseudonym changing scheme which lets a vehicle decide autonomously when to change its pseudonym and how long it should remain silent to ensure unlinkability. This scheme adapts dynamically based on the density of the surrounding traffic and the user privacy preferences. We employ a multi-target tracking algorithm to measure privacy in terms of traceability in realistic vehicle traces. We use Monte Carlo analysis to estimate the quality of service (QoS) of a forward collision warning application when vehicles apply this scheme. According to the experimental results, the proposed scheme provides a better compromise between traceability and QoS than a random silent period scheme. [less ▲] Detailed reference viewed: 20 (1 UL)Information sharing, credit booms and financial stability Leon, Florian ; E-print/Working paper (2016) This paper analyzes the impact of credit information sharing on financial stability, drawing special attention to its interactions with credit booms. A probit estimation of financial vulnerability ... [more ▼] This paper analyzes the impact of credit information sharing on financial stability, drawing special attention to its interactions with credit booms. A probit estimation of financial vulnerability episodes – identified by jumps of the ratio of non-performing loans to total loans, is run for a sample of 159 countries dividing in two sub-samples according to their level of development: 80 advanced or emerging economies and 79 less developed countries. The results show that: i) credit information sharing reduces financial fragility for both groups of countries; ii) for less developed countries, the main effect is the direct effect (reduction of NPL ratio once credit boom is controlled), suggesting a portfolio quality effect; iii) for advanced and emerging countries, credit information sharing (IS) also mitigates the detrimental impact of credit boom on financial fragility, iv) the depth of IS has an negative impact on the likelihood of credit booms (but not the coverage of IS). [less ▲] Detailed reference viewed: 88 (17 UL)Interactions Between Administrative and Criminal Law in the Context of the Enforcement of Bank Prudential Regulations Allegrezza, Silvia ; Rodopoulos, Ioannis E-print/Working paper (2016) Detailed reference viewed: 88 (9 UL)Burnout am Arbeitsplatz in Luxemburg Sischka, Philipp ; Steffgen, Georges E-print/Working paper (2016) Die Burnoutprävalenz der luxemburgischen Arbeitnehmer liegt für 2013 bis 2015 zwischen 15,7 und 18,0%. Während Frauen 2013 eine höhere Burnoutprävalenz im Vergleich zu Männern aufweisen, verringert sich ... [more ▼] Die Burnoutprävalenz der luxemburgischen Arbeitnehmer liegt für 2013 bis 2015 zwischen 15,7 und 18,0%. Während Frauen 2013 eine höhere Burnoutprävalenz im Vergleich zu Männern aufweisen, verringert sich diese Differenz 2014 und 2015 etwas. Die 25-34 Jährigen Arbeitnehmer scheinen seltener von Burnout betroffen zu sein. Demgegenüber weisen die 35-44 und 45-54 Jährigen über alle drei Erhebungsjahre überdurchschnittliche Burnoutprävalenzen auf. Differenziert man die Arbeitnehmer nach Voll- und Teilzeitstellen, ergeben sich nur geringfügige Unterschiede. Arbeitnehmer, die 0-5 Jahre in ihrem jetzigen Betrieb arbeiten sind im Vergleich zu Arbeitnehmern mit einer längeren Betriebszugehörigkeitsdauer unterdurchschnittlich von Burnout betroffen. Arbeitnehmer, die eine Reduktion der Belegschaft in ihrem Betrieb konstatieren, sind deutlich stärker von Burnout betroffen, als Personen, die keine Veränderung oder sogar eine Erhöhung der Belegschaft festgestellt haben. Arbeitnehmer, die von Aktionen zur Aufklärung von Gesundheitsproblemen in ihrer Organisation berichten, sind ebenfalls weniger stark von Burnout betroffen im Vergleich zu Arbeitnehmern, die berichten, dass in den letzten drei Jahren keine Aktionen zur Aufklärung von Gesundheitsproblemen stattgefunden haben. Differenziert man die Arbeitnehmer nach ISCO-Berufsklassifikation, ist die Burnoutprävalenz unter Managern bzw. Führungskräften am Geringsten, bei Arbeitnehmern die Anlagen bedienen und Montageberufen als auch bei Technikern dagegen am höchsten. Arbeitnehmer mit deutscher und luxemburgischer Nationalität sind seltener, Arbeitnehmer mit französischer und belgischer Nationalität dagegen öfter von Burnout betroffen. [less ▲] Detailed reference viewed: 55 (5 UL)Gender Gaps in Social Capital: A theoretical interpretation of the Italian evidence Joxhe, Majlinda ; E-print/Working paper (2016) In this paper, we show that social capital accumulation along the life cycle is different for men and women. We discuss the concept of social capital and some problems connected to its definition and ... [more ▼] In this paper, we show that social capital accumulation along the life cycle is different for men and women. We discuss the concept of social capital and some problems connected to its definition and measurement. We survey the literature on gender and social capital and use the Italian data of the “Multiscopo” Survey to assess differences in life cycle accumulation of social capital by sex and age. The lifecycle profile of social capital accumulation is gendered, with men accumulating more social capital at all ages, with a different peak and overall profile. We also show that, over 15 years, the gap in social capital by sex narrowed. Finally, we introduce a model of social capital structure compatible with the empirical evidence and with notions of gender as defined in feminist literature [less ▲] Detailed reference viewed: 45 (3 UL)Participation in a New Regulatory Paradigm: Collaboration and Constraint in TTIP's Regulatory Cooperation Mendes, Joana E-print/Working paper (2016) Regulatory cooperation is a core aspect of mega-regional agreements in liberalizing trade and investment, as it enables the parties to bridge their regulatory divergences beyond what is defined in the ... [more ▼] Regulatory cooperation is a core aspect of mega-regional agreements in liberalizing trade and investment, as it enables the parties to bridge their regulatory divergences beyond what is defined in the text of the agreements. It relies on institutional and procedural structures that entail both the mutual adjustment of domestic procedures of the parties and new international fora where regulators meet to negotiate and deliberate. In the case of TTIP, regulatory cooperation will be the setting in which decisions will be prepared or made on the differences between EU and US regulation that could be usefully overcome; on the technical requirements that are unnecessarily duplicated; on the standards that should remain in place because they contend with public policy objectives in a way that would not be compatible with domestic standards; on the areas that are too distinct to justify attempts at mutual recognition or other forms of regulatory compatibility; on the standards that both parties will promote globally. This paper focuses on participation, which in addition to information exchanges and regulatory impact assessments, forms part of the trio of “good regulatory practices” that constitute the procedural basis of regulatory cooperation under TTIP. [less ▲] Detailed reference viewed: 31 (4 UL)The Empire Strikes Back: Yukos-Russia, 1-1 Fahner, Johannes Hendrik E-print/Working paper (2016) Detailed reference viewed: 37 (2 UL)The Presumption of Innocence (and the Right to be Present at Trial) Directive Lamberigts, Stijn E-print/Working paper (2016) Detailed reference viewed: 53 (7 UL)Corporate Liability Debate still Alive and Kicking in US Courts Baglayan Ceyhan, Basak E-print/Working paper (2016) Detailed reference viewed: 26 (4 UL)Regards sur l'intégration linguistique Heinz, Andreas ; Fehlen, Fernand E-print/Working paper (2016) Les Luxembourgeois nés au Luxembourg se distinguent de manière significative de ceux nés à l'étranger. De même, les proportions des principales langues diffèrent parmi les étrangers, s’ils sont nés au ... [more ▼] Les Luxembourgeois nés au Luxembourg se distinguent de manière significative de ceux nés à l'étranger. De même, les proportions des principales langues diffèrent parmi les étrangers, s’ils sont nés au Luxembourg ou s’ils y sont venus au cours de leur vie. Si les deux parents sont nés au Luxembourg, la langue principale est pratiquement toujours le luxembourgeois. Cependant, si un parent est né à l'étranger, le luxembourgeois est la langue principale dans un peu plus de trois quarts des cas. Pratiquement tous les immigrés allemands ont l’allemand ou le luxembourgeois comme langue principale tandis que les Français indiquent pour des périodes d'immigration comparables moins souvent le luxembourgeois comme langue principale. Une forte proportion des immigrés portugais conserve le portugais comme langue principale. [less ▲] Detailed reference viewed: 80 (12 UL)Regards sur langues au travail Heinz, Andreas ; Fehlen, Fernand E-print/Working paper (2016) Le français se trouve en tête des langues parlées au travail par les résidents, suivi du luxembourgeois. C’est la langue la plus parlée dans tous les secteurs économiques du privé, tandis que le ... [more ▼] Le français se trouve en tête des langues parlées au travail par les résidents, suivi du luxembourgeois. C’est la langue la plus parlée dans tous les secteurs économiques du privé, tandis que le luxembourgeois a ses bastions dans le secteur public et parapublic. Le français connaît une forte présence dans pratiquement tous les grands groupes CITP (Classification Internationale Type des Professions). Le luxembourgeois est la langue la plus utilisée dans l'armée et dans l’agriculture, tandis que le portugais est surreprésenté parmi les artisans et les ouvriers non qualifiés. L’anglais est largement utilisé dans les professions qui exigent une éducation formelle élevée, alors que le portugais est surtout utilisé dans les professions nécessitant seulement une éducation formelle faible. Comme l’implantation des différentes branches économiques n’est pas homogène dans le pays, on peut constater une forte variation géographique pour l’utilisation des langues au travail. [less ▲] Detailed reference viewed: 97 (17 UL)Alternate modules are subsymplectic Guerin, Clément E-print/Working paper (2016) In this paper, an alternate module $(A,\phi)$ is a finite abelian group $A$ with a $\mathbb{Z}$-bilinear application $\phi:A\times A\rightarrow \mathbb{Q}/\mathbb{Z}$ which is alternate (i.e. zero on the ... [more ▼] In this paper, an alternate module $(A,\phi)$ is a finite abelian group $A$ with a $\mathbb{Z}$-bilinear application $\phi:A\times A\rightarrow \mathbb{Q}/\mathbb{Z}$ which is alternate (i.e. zero on the diagonal). We shall prove that any alternate module is subsymplectic, i.e. if $(A,\phi)$ has a Lagrangian of cardinal $n$ then there exists an abelian group $B$ of order $n$ such that $(A,\phi)$ is a submodule of the standard symplectic module $B\times B^*$. [less ▲] Detailed reference viewed: 18 (0 UL)The helical gap in interacting Rashba wires at low electron densities Schmidt, Thomas ; Pedder, Christopher E-print/Working paper (2016) Rashba spin-orbit coupling and a magnetic field perpendicular to the Rashba axis have been predicted to open a partial gap ("helical gap") in the energy spectrum of noninteracting or weakly interacting ... [more ▼] Rashba spin-orbit coupling and a magnetic field perpendicular to the Rashba axis have been predicted to open a partial gap ("helical gap") in the energy spectrum of noninteracting or weakly interacting one-dimensional quantum wires. By comparing kinetic energy and Coulomb energy we show that this gap opening typically occurs at low electron densities where the Coulomb energy dominates. To address this strongly correlated limit, we investigate Rashba wires using Wigner crystal theory. We find that the helical gap exists even in the limit of strong interactions but its dependence on electron density differs significantly from the weakly interacting case. In particular, we find that the critical magnetic field for opening the gap becomes an oscillatory function of electron density. [less ▲] Detailed reference viewed: 29 (5 UL)Kingdom of Spain v. Council: another piece in the "Schengen puzzle" Marletta, Angelo E-print/Working paper (2016) Detailed reference viewed: 22 (4 UL)Case C-25/15 Balogh – The Translation and Interpretation Directive and (questionable) special procedures Lamberigts, Stijn E-print/Working paper (2016) Detailed reference viewed: 42 (5 UL)Higher signature Delaunay decompositions ; ; Schlenker, Jean-Marc E-print/Working paper (2016) A Delaunay decomposition is a cell decomposition in R^d for which each cell is inscribed in a Euclidean ball which is empty of all other vertices. This article introduces a generalization of the Delaunay ... [more ▼] A Delaunay decomposition is a cell decomposition in R^d for which each cell is inscribed in a Euclidean ball which is empty of all other vertices. This article introduces a generalization of the Delaunay decomposition in which the Euclidean balls in the empty ball condition are replaced by other families of regions bounded by certain quadratic hypersurfaces. This generalized notion is adaptable to geometric contexts in which the natural space from which the point set is sampled is not Euclidean, but rather some other flat semi-Riemannian geometry, possibly with degenerate directions. We prove the existence and uniqueness of the decomposition and discuss some of its basic properties. In the case of dimension d = 2, we study the extent to which some of the well-known optimality properties of the Euclidean Delaunay triangulation generalize to the higher signature setting. In particular, we describe a higher signature generalization of a well-known description of Delaunay decompositions in terms of the intersection angles between the circumscribed circles. [less ▲] Detailed reference viewed: 20 (2 UL)Once punctured disks, non-convex polygons, and pointihedra Parlier, Hugo ; E-print/Working paper (2016) We explore several families of flip-graphs, all related to polygons or punctured polygons. In particular, we consider the topological flip-graphs of once-punctured polygons which, in turn, contain all ... [more ▼] We explore several families of flip-graphs, all related to polygons or punctured polygons. In particular, we consider the topological flip-graphs of once-punctured polygons which, in turn, contain all possible geometric flip-graphs of polygons with a marked point as embedded sub-graphs. Our main focus is on the geometric properties of these graphs and how they relate to one another. In particular, we show that the embeddings between them are strongly convex (or, said otherwise, totally geodesic). We also find bounds on the diameters of these graphs, sometimes using the strongly convex embeddings. Finally, we show how these graphs relate to different polytopes, namely type D associahedra and a family of secondary polytopes which we call pointihedra. [less ▲] Detailed reference viewed: 8 (0 UL)Bad irreducible subgroups and singular locus for character varieties in PSL(p,C) Guerin, Clément E-print/Working paper (2016) We give the centralizers of irreducible representations from a finitely generated group $\Gamma$ to $PSL(p,\mathbb{C})$ where p is a prime number. This leads to a description of the singular locus (te ... [more ▼] We give the centralizers of irreducible representations from a finitely generated group $\Gamma$ to $PSL(p,\mathbb{C})$ where p is a prime number. This leads to a description of the singular locus (te (the set of conjugacy classes of representations whose centralizer strictly contains the center of the ambient group) of the irreducible part of the character variety $\chi^i(\Gamma,PSL(p,\mathbb{C}))$. When $\Gamma$ is a free group of rank $l\geq 2$ or the fundamental group of a closed Riemann surface of genus $g\geq 2$, we give a complete description of this locus and prove that this locus is exactly the set of algebraic singularities of the irreducible part of the character variety. [less ▲] Detailed reference viewed: 20 (1 UL)The Effect of Survey Design on Extreme Response Style: Rating Job Satisfaction Joxhe, Majlinda ; E-print/Working paper (2016) This paper explores the relationship between survey rating scale and Extreme Response Style (ERS) using experimental data from Understanding Society (Innovation Panel 2008), where a self-assessment ... [more ▼] This paper explores the relationship between survey rating scale and Extreme Response Style (ERS) using experimental data from Understanding Society (Innovation Panel 2008), where a self-assessment questionnaire measuring job satisfaction uses two alternative (7 and 11 points) rating options. Our results suggests that when shifting from a shorter to a longer scale, the survey design generates a tendency to choose response scales at the extreme of the distribution, thus creating a misleading quantification of the variable of interest. The experimental design of the data enables us to test our hypothesis using a non-linear estimation approach where age, gender and education level are shown to affect ERS. [less ▲] Detailed reference viewed: 62 (9 UL)Islamic Banking Development and access to credit Leon, Florian ; E-print/Working paper (2016) The recent expansion of Islamic banks raises questions on its economic implications. The aim of this paper is to investigate the impact of Islamic banking development on access to credit. We combine data ... [more ▼] The recent expansion of Islamic banks raises questions on its economic implications. The aim of this paper is to investigate the impact of Islamic banking development on access to credit. We combine data from a unique hand-collected database that covers Islamic banks over the period of 2000 to 2005 with firm-level data covering developing and emerging countries. We find that Islamic banking development has overall no impact on credit constraints, while banking development and conventional banking development alleviate obstacles to financing. However Islamic banking development exerts a positive impact on access to credit when conventional banking development is low. Hence we support the view that Islamic banking does not overall alleviate obstacles to financing, but it can act as substitute to conventional banking. [less ▲] Detailed reference viewed: 309 (13 UL)Spectral gap on Riemannian path space over static and evolving manifolds Cheng, Li Juan ; Thalmaier, Anton E-print/Working paper (2016) Detailed reference viewed: 49 (7 UL)Attractors in spacetimes and time functions Monclair, Daniel E-print/Working paper (2016) Detailed reference viewed: 7 (0 UL)Conceptual Confusion: the case of Epigenetics ; Fouquier d'Hérouël, Aymeric ; E-print/Working paper (2016) The observations of phenotypic plasticity have stimulated the revival of "epigenetics". Over the past 70 years the term has come in many colors and flavors, depending on the biological discipline and time ... [more ▼] The observations of phenotypic plasticity have stimulated the revival of "epigenetics". Over the past 70 years the term has come in many colors and flavors, depending on the biological discipline and time period. The meanings span from Waddington "epigenotype" and "epigenetic landscape" to the molecular biologists "epigenetic marks" embodied by DNA methylation and histone modifications. Here we seek to quell the ambiguity of the name. First we place "epigenetic" in the various historical contexts. Then, by presenting the formal concepts of dynamical systems theory we show that the "epigenetic landscape" is more than a metaphor: it has specific mathematical foundations. The latter explains how gene regulatory networks produce multiple attractor states, the self-stabilizing patterns of gene activation across the genome that account for "epigenetic memory". This network dynamics approach replaces the reductionist correspondence of molecular epigenetic modifications with concept of the epigenetic landscape, by providing a concrete and crisp correspondence. [less ▲] Detailed reference viewed: 63 (5 UL)Tax havens compliance with international standards: a temporal perspective Zanaj, Skerdilajda ; Pieretti, Patrice ; E-print/Working paper (2016) Detailed reference viewed: 7 (0 UL)Stochastic completeness and gradient representations for sub-Riemannian manifolds ; Thalmaier, Anton E-print/Working paper (2016) Given a second order partial differential operator L satisfying the strong Hörmander condition with corresponding heat semigroup P_t, we give two different stochastic representations of dP_t f for a ... [more ▼] Given a second order partial differential operator L satisfying the strong Hörmander condition with corresponding heat semigroup P_t, we give two different stochastic representations of dP_t f for a bounded smooth function f. We show that the first identity can be used to prove infinite lifetime of a diffusion of L/2, while the second one is used to find an explicit pointwise bound for the horizontal gradient on a Carnot group. In both cases, the underlying idea is to consider the interplay between sub-Riemannian geometry and connections compatible with this geometry. [less ▲] Detailed reference viewed: 34 (5 UL)Europe’s Center of Science: Science Productivity in Belgium, France, Germany, and Luxembourg Powell, Justin J W ; Dusdal, Jennifer E-print/Working paper (2016) European countries have increasingly invested in higher education and science systems, leading to rising numbers of scholars and scientists, considerable infrastructure development, and dense cross ... [more ▼] European countries have increasingly invested in higher education and science systems, leading to rising numbers of scholars and scientists, considerable infrastructure development, and dense cross-cultural networks and collaboration. The result: significant growth in scientific output and productivity in science, technology, engineering and math (STEM) fields. For four EU member states in Western Europe of different size and institutionalization pathways of science, we assess the development and current state of universities and research institutes, and the resulting science output. We measure output in peer-reviewed research articles collected in Thomson Reuters’ Science Citation Index Expanded (SCIE). Based on a comprehensive historical database, this comparison uncovers both stable and dynamic patterns of productivity from 1975 to 2010 in Germany, France, Belgium, and Luxembourg.[1] This emphasizes different institutionalization pathways that created the conditions necessary for continuous, but varying growth in scientific productivity in the European center of global science. Today, these countries invest considerably in research and development (R&D) and in higher education, the smaller ones doing so through a single national research university (Luxembourg), or a set of strong research universities in different regions (Belgium’s language communities of Flanders and Wallonia). The two larger countries (France and Germany) maintain differentiated systems of universities—of varying size and prestige—and extra-university research institutes that are connected in large umbrella associations or coordinated by government agencies. Rising science productivity reflects considerable state investment, yet the impact of any individual scientific article remains difficult to measure. [less ▲] Detailed reference viewed: 54 (17 UL)Green Consumption and relative preferences in an international ologopoly Zanaj, Skerdilajda ; ; E-print/Working paper (2016) Detailed reference viewed: 6 (0 UL)Poisson cohomology of holomorphic toric Poisson manifolds Hong, Wei E-print/Working paper (2016) Detailed reference viewed: 15 (0 UL)An explicit two step quantization of Poisson structures and Lie bialgebras Merkulov, Sergei ; E-print/Working paper (2016) We develop a new approach to deformation quantizations of Lie bialgebras and Poisson structures which goes in two steps. In the first step one associates to any Poisson (resp. Lie bialgebra) structure a ... [more ▼] We develop a new approach to deformation quantizations of Lie bialgebras and Poisson structures which goes in two steps. In the first step one associates to any Poisson (resp. Lie bialgebra) structure a so called quantizable Poisson (resp. Lie bialgebra) structure. We show explicit transcendental formulae for this correspondence. In the second step one deformation quantizes a quantizable Poisson (resp. Lie bialgebra) structure. We show again explicit transcendental formulae for this second step correspondence (as a byproduct we obtain configuration space models for biassociahedron and bipermutohedron). In the Poisson case the first step is the most non-trivial one and requires a choice of an associator while the second step quantization is essentially unique, it is independent of a choice of an associator and can be done by a trivial induction. We conjecture that similar statements hold true in the case of Lie bialgebras. The main new result is a surprisingly simple explicit universal formula (which uses only smooth differential forms) for universal quantizations of finite-dimensional Lie bialgebras. [less ▲] Detailed reference viewed: 24 (0 UL)Lorentzian manifolds with a conformal action of SL(2,R) Pecastaing, Vincent E-print/Working paper (2016) We consider conformal actions of simple Lie groups on compact Lorentzian manifolds. Mainly motivated by the Lorentzian version of a conjecture of Lichnerowicz, we establish the alternative: Either the ... [more ▼] We consider conformal actions of simple Lie groups on compact Lorentzian manifolds. Mainly motivated by the Lorentzian version of a conjecture of Lichnerowicz, we establish the alternative: Either the group acts isometrically for some metric in the conformal class, or the manifold is conformally flat - that is, everywhere locally conformally diffeomorphic to Minkowski space-time. When the group is non-compact and not locally isomorphic to SO(1,n), n>1, we derive global conclusions, extending a theorem of Frances and Zeghib to some simple Lie groups of real-rank 1. This result is also a first step towards a classification of the conformal groups of compact Lorentz manifolds, analogous to a classification of their isometry groups due to Adams, Stuck and, independently, Zeghib at the end of the 1990's. [less ▲] Detailed reference viewed: 11 (1 UL)Classification of universal formality maps for quantizations of Lie bialgebras Merkulov, Sergei ; E-print/Working paper (2016) We introduce an endofunctor D in the category of augmented props with the property that for any representation of a prop P in a vector space V the associated prop DP admits an induced representation on ... [more ▼] We introduce an endofunctor D in the category of augmented props with the property that for any representation of a prop P in a vector space V the associated prop DP admits an induced representation on the graded commutative tensor algebra S(V) given in terms of polydifferential operators. Applying this functor to the prop LieB of Lie bialgebras we show that universal formality maps for quantizations of Lie bialgebras are in in 1-1 correspondence with prop morphisms from the minimal resolution AssB_infty of the prop of associative bialgebras to the polydifferential prop DLieB_infty satisfying certain boundary conditions. We prove that the set of such formality morphisms (having an extra property of being Lie connected) is non-empty. The latter result is used in turn to give a short proof of the formality theorem for universal quantizations of arbitrary Lie bialgebras which says that for any Drinfeld associator there is an associated Lie_infty quasi-isomorphism between the Lie_infty algebras controlling, respectively, deformations of the standard bialgebra structure in S(V) and deformations of any given Lie bialgebra structure in V. We study the deformation complex of an arbitrary universal formality morphism and show that it is quasi-isomorphic (up to one class corresponding to the standard rescaling automorphism of the properad LieB) to the oriented graph complex GC or 3 studied earlier in \cite{Wi2}. This result gives a complete classification of the set of gauge equivalence classes of universal Lie connected formality maps --- it is a torsor over the Grothendieck-Teichm\"uller group GRT and can hence can be identified with the set of Drinfeld associators. [less ▲] Detailed reference viewed: 21 (0 UL)(Universal) Unconditional Verifiability in E-Voting without Trusted Parties ; Iovino, Vincenzo ; Roenne, Peter et al E-print/Working paper (2016) Detailed reference viewed: 10 (2 UL)Prescribing metrics on the boundary of AdS 3-manifolds Tamburelli, Andrea E-print/Working paper (2016) We prove that given two metrics g+ and g− with curvature κ<−1 on a closed, oriented surface S of genus τ≥2, there exists an AdS manifold N with smooth, space-like, strictly convex boundary such that the ... [more ▼] We prove that given two metrics g+ and g− with curvature κ<−1 on a closed, oriented surface S of genus τ≥2, there exists an AdS manifold N with smooth, space-like, strictly convex boundary such that the induced metrics on the two connected components of ∂N are equal to g+ and g−. Using the duality between convex space-like surfaces in AdS3, we obtain an equivalent result about the prescription of the third fundamental form. [less ▲] Detailed reference viewed: 54 (7 UL)How to discretize the differential forms on the interval ; Schätz, Florian E-print/Working paper (2016) We provide explicit quasi-isomorphisms between the following three algebraic structures associated to the unit interval: i) the commutative dg algebra of differential forms, ii) the non-commutative dg ... [more ▼] We provide explicit quasi-isomorphisms between the following three algebraic structures associated to the unit interval: i) the commutative dg algebra of differential forms, ii) the non-commutative dg algebra of simplicial cochains and iii) the Whitney forms, equipped with a homotopy commutative and homotopy associative, i.e. C-∞, algebra structure. Our main interest lies in a natural `discretization' C-∞ quasi-isomorphism φ from differential forms to Whitney forms. We establish a uniqueness result that implies that φ coincides with the morphism from homotopy transfer, and obtain several explicit formulas for φ, all of which are related to the Magnus expansion. In particular, we recover combinatorial formulas for the Magnus expansion due to Mielnik and Plebanski. [less ▲] Detailed reference viewed: 28 (2 UL)Weak poincaré inequality for convolution probability measures Cheng, Li Juan ; E-print/Working paper (2016) In this article, weak Poincaré inequalities are established for convolution measures by using Lyapunov conditions. As applications, these results are further applied to some explicit cases. Detailed reference viewed: 34 (12 UL)Model spaces in sub-Riemannian geometry Grong, Erlend E-print/Working paper (2016) We consider sub-Riemannian spaces admitting an isometry group that is maximal in the sense that any linear isometry of the horizontal tangent spaces is realized by a global isometry. We will show that ... [more ▼] We consider sub-Riemannian spaces admitting an isometry group that is maximal in the sense that any linear isometry of the horizontal tangent spaces is realized by a global isometry. We will show that these spaces have a canonical partial connection defined on their horizontal bundle. However, unlike the Riemannian case, such spaces are not uniquely determined by their curvature and their metric tangent cone. Furthermore, the number of invariants needed to determine model spaces with the same tangent cone is in general greater than one. [less ▲] Detailed reference viewed: 25 (2 UL) |
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