Random Polynomials, CLT; Rice Formula; Malliavin-Stein
Résumé :
[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 :
Mathématiques
Auteur, co-auteur :
DALMAO, Federico ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Co-auteurs externes :
no
Langue du document :
Anglais
Titre :
Asymptotic variance for the number of zeros of Kostlan Shub Smale random polynomials.