Asymptotic distribution of complex zeros of random analytic functions

Kabluchko, Zakhar; Zaporozhets, Dmitry

Research article (journal) | Peer reviewed

Abstract

Let ξ0, ξ1, be independent identically distributed complex-valued random variables such that Elog(1 + |ξ0|)

Details about the publication

JournalAnnals of Probability (Ann. Probab.)
Volume42
Issue4
Page range1374-1395
StatusPublished
Release year2014
Language in which the publication is writtenEnglish
DOI10.1214/13-AOP847
KeywordsCircular law; Empirical distribution of zeros; Equilibrium measure; Legendre-Fenchel transform; Logarithmic potential; Random analytic function; Random polynomial; Random power series

Authors from the University of Münster

Kabluchko, Zakhar
Professorship for probability theory (Prof. Kabluchko)