Spectral properties of partial automorphisms of a binary rooted tree
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 \(\delta_0\) as \...
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Дата: | 2019 |
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Мова: | English |
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Lugansk National Taras Shevchenko University
2019
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Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-5322019-01-24T08:21:31Z Spectral properties of partial automorphisms of a binary rooted tree Kochubinska, Eugenia partial automorphism, semigroup, eigenvalues, random matrix, delta measure 20M18, 20M20,05C05 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 \(\delta_0\) as \(n \to \infty\), where \(\delta_0\) is the delta measure concentrated at \(0\). Lugansk National Taras Shevchenko University 2019-01-24 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/532 Algebra and Discrete Mathematics; Vol 26, No 2 (2018) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/532/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/532/272 Copyright (c) 2019 Algebra and Discrete Mathematics |
institution |
Algebra and Discrete Mathematics |
collection |
OJS |
language |
English |
topic |
partial automorphism semigroup eigenvalues random matrix delta measure 20M18 20M20,05C05 |
spellingShingle |
partial automorphism semigroup eigenvalues random matrix delta measure 20M18 20M20,05C05 Kochubinska, Eugenia Spectral properties of partial automorphisms of a binary rooted tree |
topic_facet |
partial automorphism semigroup eigenvalues random matrix delta measure 20M18 20M20,05C05 |
format |
Article |
author |
Kochubinska, Eugenia |
author_facet |
Kochubinska, Eugenia |
author_sort |
Kochubinska, Eugenia |
title |
Spectral properties of partial automorphisms of a binary rooted tree |
title_short |
Spectral properties of partial automorphisms of a binary rooted tree |
title_full |
Spectral properties of partial automorphisms of a binary rooted tree |
title_fullStr |
Spectral properties of partial automorphisms of a binary rooted tree |
title_full_unstemmed |
Spectral properties of partial automorphisms of a binary rooted tree |
title_sort |
spectral properties of partial automorphisms of a binary rooted tree |
description |
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 \(\delta_0\) as \(n \to \infty\), where \(\delta_0\) is the delta measure concentrated at \(0\). |
publisher |
Lugansk National Taras Shevchenko University |
publishDate |
2019 |
url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/532 |
work_keys_str_mv |
AT kochubinskaeugenia spectralpropertiesofpartialautomorphismsofabinaryrootedtree |
first_indexed |
2024-04-12T06:26:33Z |
last_indexed |
2024-04-12T06:26:33Z |
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1796109220253270016 |