The zeros of random polynomials cluster uniformly near the unit circleReportar como inadecuado




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1 AIM - American Institute of Mathematics 2 LPMA - Laboratoire de Probabilités et Modèles Aléatoires

Abstract : Given a sequence of random polynomials, we show that, under some very general conditions, the roots tend to cluster near the unit circle, and their angles are uniformly distributed. In particular, we do not assume independence or equidistribution of the coefficients of the polynomial. We apply this result to various problems in both random and deterministic sequences of polynomials, including some problems in random matrix theory.

Keywords : Clustering of zeros Random polynomials





Autor: C.P. Hughes - A. Nikeghbali -

Fuente: https://hal.archives-ouvertes.fr/



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