Eigenvalues of random wreath products
type: Item
instance of: scholarly article
title: Eigenvalues of random wreath products
zbMATH Open document ID: 1013.15006
author: Steven Neil Evans
published in: Electronic Journal of Probability
publication date: 2003-02-13T00:00:00Z
full work available at URL: https://eudml.org/doc/122666
review text: The author considers the limiting distribution of eigenvalues of random elements of the \(n\)-fold wreath product of a finite transitive permutation group. It is proved that there is weak convergence in probability to the standard Lebesgue measure on the unit circle. This is a corollary of a stronger result that the limiting probability that expectation of trigonometic polynomial is not its expectation under Lebesgue measure is zero. The result is extended to a class of infinite Fourier series.
Mathematics Subject Classification ID: 15B52
Mathematics Subject Classification ID: 42A20
Mathematics Subject Classification ID: 60J80
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 05C05
Mathematics Subject Classification ID: 60B15
zbMATH DE Number: 1868588
zbMATH Keywords: random permutation
zbMATH Keywords: random matrix
zbMATH Keywords: Haar measure
zbMATH Keywords: regular tree
zbMATH Keywords: Sylow
zbMATH Keywords: branching process
zbMATH Keywords: multiplicative function
zbMATH Keywords: eigenvalues
zbMATH Keywords: wreath product
zbMATH Keywords: finite transitive permutation group
zbMATH Keywords: weak convergence
zbMATH Keywords: Lebesgue measure
zbMATH Keywords: infinite Fourier series
reviewed by: Ki Hang Kim
MaRDI profile type: Publication
OpenAlex ID: W2029881930
DOI: 10.1214/EJP.V7-108
description: scientific article; zbMATH DE number 1868588