Asymptotic variance for the number of zeros of Kostlan Shub Smale random polynomials.

Reference : Asymptotic variance for the number of zeros of Kostlan Shub Smale random polynomials.


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/23029

Title :	Asymptotic variance for the number of zeros of Kostlan Shub Smale random polynomials.
Language :	English
Author, co-author :	Dalmao, Federico [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	Dec-2015
Journal title :	Comptes Rendus. Mathématique
Publisher :	Elsevier
Volume :	353
Issue/season :	12
Pages :	1141-1145
Peer reviewed :	Yes
Audience :	International
ISSN :	1631-073X
City :	Amsterdam
Country :	Pays Bas
Keywords :	[en] Random Polynomials, CLT ; Rice Formula ; Malliavin-Stein
Abstract :	[en] n this note, we find the asymptotic main term of the variance of the number of roots of Kostlan–Shub–Smale random polynomials and prove a central limit theorem for this number of roots as the degree goes to infinity.
Permalink :	http://hdl.handle.net/10993/23029
DOI :	10.1016/j.crma.2015.09.016
Other URL :	http://dx.doi.org/10.1016/j.crma.2015.09.016

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