Reference : Asymptotic variance for the number of zeros of Kostlan Shub Smale random polynomials.
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/23029
Asymptotic variance for the number of zeros of Kostlan Shub Smale random polynomials.
English
Dalmao, Federico mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Dec-2015
Comptes Rendus. Mathématique
Elsevier
353
12
1141-1145
Yes
International
1631-073X
Amsterdam
Pays Bas
[en] Random Polynomials, CLT ; Rice Formula ; Malliavin-Stein
[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.
http://hdl.handle.net/10993/23029
10.1016/j.crma.2015.09.016
http://dx.doi.org/10.1016/j.crma.2015.09.016

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