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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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Інститут прикладної математики і механіки НАН України
2018
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/188414 |
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irk-123456789-1884142023-02-28T01:27:07Z Spectral properties of partial automorphisms of a binary rooted tree Kochubinska, E. 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. 2018 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/188414 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| language |
English |
| 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. |
| format |
Article |
| author |
Kochubinska, E. |
| spellingShingle |
Kochubinska, E. Spectral properties of partial automorphisms of a binary rooted tree Algebra and Discrete Mathematics |
| author_facet |
Kochubinska, E. |
| author_sort |
Kochubinska, E. |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2018 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT kochubinskae spectralpropertiesofpartialautomorphismsofabinaryrootedtree |
| first_indexed |
2023-10-18T23:08:18Z |
| last_indexed |
2023-10-18T23:08:18Z |
| _version_ |
1796157346355871744 |