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arXiv · 2006.15558

Spectrum of partial automorphisms of regular rooted tree

Eugenia Kochubinska
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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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Eugenia Kochubinska. 2020-06-28. Spectrum of partial automorphisms of regular rooted tree. https://arxiv.org/abs/2006.15558

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