3 papers
math.DS2026
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…
math.DS2026
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…
math.DS2024
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…