Please use this identifier to cite or link to this item:
http://hdl.handle.net/123456789/4553
Title: | Spectral properties of partial automorphisms of a binary rooted tree |
Authors: | Kochubinska, E. |
Keywords: | partial automorphism semigroup eigenvalues random matrix delta measure |
Issue Date: | 2018 |
Publisher: | ДЗ "ЛНУ імені Тараса Шевченка" |
Series/Report no.: | математичні науки; |
Abstract: | 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. |
Description: | Kochubinska E. Spectral properties of partial automorphisms of a binary rooted tree / E.Kochubinska // Algebra and Discrete Mathematics. - 2018. - Vol. 26. - Number 2. - Рp. 280-289 |
URI: | http://hdl.handle.net/123456789/4553 |
Appears in Collections: | Algebra and Discrete Mathematics. - № 2 (26). - 2018 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
532-3849-1-PB.pdf | 331.98 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.