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arXiv · 2606.05619

Asymmetry of Entropy Invariants for Generic Mixing $Z^n$-Actions

Mikhail V. Engelgardt·Valery V. Ryzhikov
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Abstract

Suppose that for a mixing $Z^n$-action, $n>1$, there exists a Kirillov-Kushnirenko entropy that is zero for this action and completely positive for its inverse. We prove that this property is generic for the mixing $Z^n$-actions.

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Mikhail V. Engelgardt, Valery V. Ryzhikov. 2026-06-04. Asymmetry of Entropy Invariants for Generic Mixing $Z^n$-Actions. https://arxiv.org/abs/2606.05619

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