Mixing automorphisms not having the Kolmogorov spectral property

Valery V. Ryzhikov

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arXiv · 2407.02140

Mixing automorphisms not having the Kolmogorov spectral property

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 symmetric tensor product $T\odot T$ has simple spectrum.

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Valery V. Ryzhikov. 2024-07-02. Mixing automorphisms not having the Kolmogorov spectral property. https://arxiv.org/abs/2407.02140

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