Spectrum of partial automorphisms of regular rooted tree

被引：0

作者：

Eugenia Kochubinska

机构：

[1] Taras Shevchenko National University of Kyiv,

来源：

Semigroup Forum | 2021年 / 103卷

关键词：

Partial automorphism; Inverse semigroup; Eigenvalues; Delta measure; Random element; Uniform distribution;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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 level number goes to infinity, the fraction of non-zero eigenvalues converges to zero in probability.

引用

页码：567 / 574

页数：7