Spectrum of partial automorphisms of regular rooted tree

2020/06/28 by Kochubinska, Eugenia
#05C05 #20M18 #20M20 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2006.15558

Abstract

We study properties of eigenvalues of a matrix associated with a randomly chosen partial automorphism of a regular rooted tree. We show that asymptotically, as the numbers of levels goes to infinity, the fraction of non-zero eigenvalues converges to zero in probability.

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