Showing math.DSShow all
3 papers · 1 filter
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…
math.DS2025
On the closedness of ergodic measures in a characteristic class
Sejal Babel, Martha Łącka
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 study…
math.DS2015
A panorama of specification-like properties and their consequences
Dominik Kwietniak, Martha Łącka, Piotr Oprocha
We offer an overview of the specification property, its relatives and their consequences. We examine relations between specification-like properties and such notions as: mixing, en…