Asymptotic variance and CLT for the number of zeros of Kostlan Shub Smale random polynomials
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Asymptotic variance and CLT for the number of zeros of Kostlan Shub Smale random polynomials
Article history: Received 28 April 2015 Accepted after revision 17 September 2015 Available online 29 October 2015 Presented by the Editorial Board In 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. © 2015 Académie des sciences. P...
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2015
ISSN: 1631-073X
DOI: 10.1016/j.crma.2015.09.016