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arXiv · 2608.10889

Katok's intermediate entropy conjecture for amenable group actions

Yage Liu·Ercai Chen·Xiaoyao Zhou
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Abstract

In this paper, we investigate a broad class of systems for which Katok's intermediate entropy conjecture holds. In particular, we show that a dynamical system with an amenable group action satisfies Katok's intermediate entropy conjecture provided that it has the specification property and is asymptotically entropy expansive.

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Yage Liu, Ercai Chen, Xiaoyao Zhou. 2026-08-11. Katok's intermediate entropy conjecture for amenable group actions. https://arxiv.org/abs/2608.10889

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