14 citations · 15 across the 17 of their papers we have counts for
26 papers
The conjugacy and flip conjugacy problem for Cantor minimal systems
Konrad Deka, Kosma Kasprzak, Philipp Kunde +2
We prove that topological conjugacy and flip conjugacy of minimal homeomorphisms of a Cantor space are complete analytic relations and hence are not Borel. We also prove that mutua…
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…
On mixing and dense periodicity on spaces with a free arc
Dominik Kwietniak, Filip Wierzbowski
We study the dynamics of continuous maps on compact metric spaces containing a free interval (an open subset homeomorphic to the interval ). We provide a new proof of a resu…
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…
Equilibrium states by synchronization, symbolic extensions, and factors
Katrin Gelfert, Dominik Kwietniak, Yuri Lima
We combine the two classical topological concepts, time-preserving topological factors and synchronizing time-changes of a continuous flow, and explore some of their thermodynamic…
A note on logarithmic mean equicontinuity
Dominik Kwietniak, Jian Li, Habibeh Pourmand
We study the set of harmonic limits of empirical measures in topological dynamical systems. We obtain a characterization of unique ergodicity based of logarithmic (harmonic) mean c…