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...

Full description

Saved in:
Bibliographic Details
Date:2018
Main Authors: Grigorchuk, R. I., Krylyuk, Ya. S.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/703
Tags: Add Tag
No Tags, Be the first to tag this record!
Journal Title:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics