Article (Scientific journals)
Asymptotic variance for the number of zeros of Kostlan Shub Smale random polynomials.
Dalmao, Federico
2015In Comptes Rendus. Mathématique, 353 (12), p. 1141-1145
Peer reviewed
 

Files


Full Text
dalmao CRAS publicado 2015.pdf
Publisher postprint (263.28 kB)
Download

All documents in ORBilu are protected by a user license.

Send to



Details



Keywords :
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.
Disciplines :
Mathematics
Author, co-author :
Dalmao, Federico ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
no
Language :
English
Title :
Asymptotic variance for the number of zeros of Kostlan Shub Smale random polynomials.
Publication date :
December 2015
Journal title :
Comptes Rendus. Mathématique
ISSN :
1631-073X
Publisher :
Elsevier, Amsterdam, Netherlands
Volume :
353
Issue :
12
Pages :
1141-1145
Peer reviewed :
Peer reviewed
Available on ORBilu :
since 17 December 2015

Statistics


Number of views
86 (14 by Unilu)
Number of downloads
120 (14 by Unilu)

Scopus citations®
 
13
Scopus citations®
without self-citations
11
OpenCitations
 
9
WoS citations
 
12

Bibliography


Similar publications



Contact ORBilu