3 papers
math.DS2025
Generic points in a characteristic class for amenable group actions are closed in the Besicovitch pseudometric
Sejal Babel, Martha ÅÄ cka, 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 character…
math.DS2025
On the closedness of ergodic measures in a characteristic class
Sejal Babel, Martha ÅÄ cka
We endow the set of all invariant measures of a topological dynamical system with a metric , which induces a topology stronger than the the weak-topology. Then, we stud…
math.DS2025
Feldman-Katok pseudometric and the GIKN construction of nonhyperbolic ergodic measures
Dominik Kwietniak, Martha ÅÄ cka
The GIKN construction was introduced by Gorodetski, Ilyashenko, Kleptsyn, and Nalsky in [Functional Analysis and its Applications, 39 (2005), 21--30]. It gives a nonhyperbolic ergo…