Hanfeng Li

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math.DS2025

Local entropy theory, combinatorics, and local theory of Banach spaces

Hanfeng Li, Kairan Liu

Each continuous action of a countably infinite discrete group $I^$ on a compact metrizable space X induces a continuous action of $I^$ on the space M(X) of Borel probability measur…

math.DS2025

Restricted Permutations and Permanents of Infinite Amenable Groups

Hanfeng Li, Klaus Schmidt

Let $I^$ be an infinite discrete group and $A \subset I^$ a nonempty finite subset. The set of permutations $I ¨ $ of $I^$ such that $s^{- 1} I ¨ (s) \in A$ for every $s\…

math.DS2024

The small boundary property in products

David Kerr, Hanfeng Li

For a continuous action $G ↷ X$ of a countable group on a compact metrizable space we show that the following are equivalent: (i) the action $G ↷ X$ has…