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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2018 |
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| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188414 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862665085757947904 |
|---|---|
| author | Kochubinska, E. |
| author_facet | Kochubinska, E. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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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| first_indexed | 2025-12-07T15:15:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188414 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T15:15:19Z |
| publishDate | 2018 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Spectral properties of partial automorphisms of a binary rooted tree Kochubinska, E. |
| title | 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_short | Spectral properties of partial automorphisms of a binary rooted tree |
| title_sort | spectral properties of partial automorphisms of a binary rooted tree |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188414 |
| work_keys_str_mv | AT kochubinskae spectralpropertiesofpartialautomorphismsofabinaryrootedtree |