5 papers
Local entropy theory, combinatorics, and local theory of Banach spaces
Hanfeng Li, Kairan Liu
Each continuous action of a countably infinite discrete group on a compact metrizable space X induces a continuous action of on the space M(X) of Borel probability measures…
Restricted Permutations and Permanents of Infinite Amenable Groups
Hanfeng Li, Klaus Schmidt
Let be an infinite discrete group and a nonempty finite subset. The set of permutations of such that for every …
The small boundary property in products
David Kerr, Hanfeng Li
For a continuous action of a countable group on a compact metrizable space we show that the following are equivalent: (i) the action has…
Local entropy theory and applications
Felipe García-Ramos, Hanfeng Li
This paper contains a survey about recent developments in the local entropy theory for topological dynamical systems and continuous group actions, with particular emphasis on the c…
Intrinsic Ergodicity, Generators and Symbolic Representations of Algebraic Group Actions
Hanfeng Li, Klaus Schmidt
We construct natural symbolic representations of intrinsically ergodic, but not necessarily expansive, principal algebraic actions of countably infinite amenable groups and use the…