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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| Date: | 2019 |
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| Language: | English |
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Lugansk National Taras Shevchenko University
2019
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/532 |
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| Journal Title: | 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 |
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| datestamp_date |
2019-01-24T08:21:31Z |
| 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 |
2025-07-17T10:37:16Z |
| last_indexed |
2025-07-17T10:37:16Z |
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1837890154640965632 |