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...

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Datum:2018
Hauptverfasser: Grigorchuk, R. I., Krylyuk, Ya. S.
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2018
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/703
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics