Eigenvalues of random wreath products

DOI10.1214/EJP.v7-108zbMath1013.15006OpenAlexW2029881930MaRDI QIDQ1858654

Steven N. Evans

Publication date: 13 February 2003

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/122666

zbMATH Keywords

weak convergenceeigenvaluesbranching processrandom matrixHaar measureregular treerandom permutationmultiplicative functionLebesgue measurewreath productfinite transitive permutation groupSylowinfinite Fourier series

Mathematics Subject Classification ID

Trees (05C05) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (8)

Dimension and randomness in groups acting on rooted trees ⋮ Spectral properties of partial automorphisms of binary rooted tree ⋮ On a Flow of Operators Associated to Virtual Permutations ⋮ The distribution of eigenvalues of randomized permutation matrices ⋮ On smooth mesoscopic linear statistics of the eigenvalues of random permutation matrices ⋮ Spectrum of partial automorphisms of regular rooted tree ⋮ On the number of eigenvalues of modified permutation matrices in mesoscopic intervals ⋮ Some limits related to random iterations of a lamplighter group

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