The spectral measure of the Markov operator related to 3-generated 2-group of intermediate growth and its Jacobi parameters

It is shown that the KNS-spectral measure of the typical Schreier graph of the action of 3-generated 2-group of intermediate growth constructed by the first author in 1980 on the boundary of binary rooted tree coincides with the Kesten’s spectral measure, and coincides (up to affine transformation o...

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Bibliographic Details
Date:2012
Main Authors: Grigorchuk, R.I., Krylyuk, Ya.S.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2012
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/152209
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The spectral measure of the Markov operator related to 3-generated 2-group of intermediate growth and its Jacobi parameters / R.I. Grigorchuk, Ya.S. Krylyuk // Algebra and Discrete Mathematics. — 2012. — Vol. 13, № 2. — С. 237–272. — Бібліогр.: 39 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine