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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Date: | 2012 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Published: |
Інститут прикладної математики і механіки НАН України
2012
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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. |