2 papers
math.DS2026
Entropy Density of Uniquely Ergodic Measures for Full Shifts over Amenable Residually Finite Groups
Martha Łącka, Marcel Mroczek
We study entropy density for full shifts over amenable residually finite groups. Entropy density means that every invariant measure can be approximated in the weak topology, to…
math.DS2025
Generic points in a characteristic class for amenable group actions are closed in the Besicovitch pseudometric
Sejal Babel, Martha Łącka, Marcel Mroczek
We consider an action of a countable amenable group on a compact metric space, focusing on the set of generic points with respect to a fixed Følner sequence. For a given characteri…