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arXiv · 2504.11040

Infinite topological entropy, positive mean dimension, and factors of subshifts

Lei Jin·Yixiao Qiao
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Abstract

We study dynamical systems with the property that all the nontrivial factors have infinite topological entropy (or, positive mean dimension). We establish an ``if and only if'' condition for this property among a typical class of dynamical systems, the subshifts of block type in the Hilbert cube. This in particular leads to a large class of concrete (and new) examples of dynamical systems having this property.

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Lei Jin, Yixiao Qiao. 2025-04-15. Infinite topological entropy, positive mean dimension, and factors of subshifts. https://arxiv.org/abs/2504.11040

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