5 papers
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…
Measures of maximal entropy for Markovian dynamics on the Gehman dendrite
Piotr Oprocha, Jakub Tomaszewski
We study transitive dynamical systems on the Gehman dendrite for which the endpoint set is invariant. Our goal is to approximate such syst…
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 previous…
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…
Cantor subsystems on the Gehman dendrite
Piotr Oprocha, Jakub Tomaszewski
In the present note we focus on dynamics on the Gehman dendrite . It is well-known that the set of its endpoints is homeomorphic to a standard Cantor ternary set. For…