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arXiv · 2203.07350

Spectra of self-similar ergodic actions

Valery V. Ryzhikov
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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.

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Valery V. Ryzhikov. 2022-03-14. Spectra of self-similar ergodic actions. https://arxiv.org/abs/2203.07350

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