2 papers
math.DS2026
Katok's intermediate entropy conjecture for amenable group actions
Yage Liu, Ercai Chen, Xiaoyao Zhou
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 grou…
math.DS2026
Ergodic measures of intermediate entropies for -action
Yage Liu, Ercai Chen, Xiaoyao Zhou
For dynamical systems satisfying the approximate or -product property and asymptotically entropy expansiveness, we establish a precise descriptio…