Spectra of self-similar ergodic actions
Dynamical Systems
2022-03-15 v1
Abstract
This note is devoted to infinite self-similar rank 1 constructions and their applications to the spectral theory of dynamical systems. The properties of orthogonal operators induced by self-similar constructions provide some unusual spectral properties of Gaussian and Poisson suspensions.
Keywords
Cite
@article{arxiv.2203.07350,
title = {Spectra of self-similar ergodic actions},
author = {Valery V. Ryzhikov},
journal= {arXiv preprint arXiv:2203.07350},
year = {2022}
}
Comments
1 figure, in Russian language