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math.DS2025
Spectrum of invariant measures via generic points
Sejal Babel, Melih Emin Can, Dominik Kwietniak +1
We describe the spectrum of an ergodic invariant measure by examining the behaviour of its generic points. We define regular Wiener--Wintner generic points for a measure to general…
math.DS2025
On entropy of pure mixing maps on dendrites
Dominik Kwietniak, Piotr Oprocha, Jakub Tomaszewski
For every we construct a continuous pure mixing map (topologically mixing, but not exact) on the Gehman dendrite with topological entropy . It has been previously…
math.DS2025
Rigidity and Toeplitz systems
Henk Bruin, Olena Karpel, Piotr Oprocha +1
The aim of this paper is to study measure-theoretical rigidity and partial rigidity for classes of Cantor dynamical systems including Toeplitz systems and enumeration systems. We u…