Spectrum of partial automorphisms of regular rooted tree
Group Theory
2020-06-30 v1
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.
Cite
@article{arxiv.2006.15558,
title = {Spectrum of partial automorphisms of regular rooted tree},
author = {Eugenia Kochubinska},
journal= {arXiv preprint arXiv:2006.15558},
year = {2020}
}