Zeros of Polynomials with Random Coefficients

Autor:	Pritsker, Igor E., Yeager, Aaron M.
Rok vydání:	2014
Předmět:	Mathematics - Probability Mathematics - Complex Variables 30C15 (Primary) 30B20 (Secondary) 60B10
Druh dokumentu:	Working Paper
Popis:	Zeros of many ensembles of polynomials with random coefficients are asymptotically equidistributed near the unit circumference. We give quantitative estimates for such equidistribution in terms of the expected discrepancy and expected number of roots in various sets. This is done for polynomials with coefficients that may be dependent, and need not have identical distributions. We also study random polynomials spanned by various deterministic bases. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1407.6769 Zobrazit plný text záznamu View this record from Arxiv