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 Ax. It is shown that the uniform distribution on eigenvalues of Ax converges weakly in probability to δ₀ as n → ∞, where δ₀ is the delt...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2018
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188414 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Spectral properties of partial automorphisms of a binary rooted tree / E. Kochubinska // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 2. — С. 280–289. — Бібліогр.: 6 назв. — англ. |
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Kochubinska, E. 2023-02-27T16:19:30Z 2023-02-27T16:19:30Z 2018 Spectral properties of partial automorphisms of a binary rooted tree / E. Kochubinska // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 2. — С. 280–289. — Бібліогр.: 6 назв. — англ. 1726-3255 2010 MSC: 20M18, 20M20,05C05. https://nasplib.isofts.kiev.ua/handle/123456789/188414 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 Ax. It is shown that the uniform distribution on eigenvalues of Ax converges weakly in probability to δ₀ as n → ∞, where δ₀ is the delta measure concentrated at 0. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Spectral properties of partial automorphisms of a binary rooted tree Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Spectral properties of partial automorphisms of a binary rooted tree |
| spellingShingle |
Spectral properties of partial automorphisms of a binary rooted tree Kochubinska, E. |
| 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 |
| author |
Kochubinska, E. |
| author_facet |
Kochubinska, E. |
| publishDate |
2018 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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 Ax. It is shown that the uniform distribution on eigenvalues of Ax converges weakly in probability to δ₀ as n → ∞, where δ₀ is the delta measure concentrated at 0.
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| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/188414 |
| citation_txt |
Spectral properties of partial automorphisms of a binary rooted tree / E. Kochubinska // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 2. — С. 280–289. — Бібліогр.: 6 назв. — англ. |
| work_keys_str_mv |
AT kochubinskae spectralpropertiesofpartialautomorphismsofabinaryrootedtree |
| first_indexed |
2025-12-07T15:15:19Z |
| last_indexed |
2025-12-07T15:15:19Z |
| _version_ |
1850863013408538624 |