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arXiv · 2006.15556

Spectral properties of partial automorphisms of binary rooted tree

Eugenia Kochubinska
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Abstract

We study asymptotics of the spectral measure of a randomly chosen partial automorphism of a rooted tree. To every partial automorphism $x$ we assign its action matrix $A_x$. It is shown that the uniform distribution on eigenvalues of $A_x$ converges weakly in probability to $δ_0$ as $n \to \infty$, where $δ_0$ is the delta measure concentrated at $0$.

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Eugenia Kochubinska. 2020-06-28. Spectral properties of partial automorphisms of binary rooted tree. https://arxiv.org/abs/2006.15556

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