On the spectral problems of Kolmogorov and Rokhlin in the class of mixing automorphisms

Valery V. Ryzhikov

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arXiv · 2407.01514

On the spectral problems of Kolmogorov and Rokhlin in the class of mixing automorphisms

Valery V. Ryzhikov

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Abstract

Let $T$ be a staircase rank-one construction with parameters $r_j \sim j^d$, $0<d<0.2$, then its spectrum does not have the group property, and the product $T\otimes T$ has homogeneous spectrum of multiplicity 2.

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Valery V. Ryzhikov. 2024-07-01. On the spectral problems of Kolmogorov and Rokhlin in the class of mixing automorphisms. https://arxiv.org/abs/2407.01514

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