4 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…
Generalized Oxtoby subshifts and hyperfiniteness
Konrad Deka, Bo Peng
We show that there exists a class of symbolic subshifts which realizes all Choquet simplices as simplices of invariant measures and the conjugacy relation on that class is hyperfin…
Bowen's Problem 32 and the conjugacy problem for systems with specification
Konrad Deka, Dominik Kwietniak, Bo Peng +1
We show that Rufus Bowen's Problem 32 on the classification of symbolic systems with the specification property does not admit a solution that would use concrete invariants. To thi…
Borel complexity of sets of points with prescribed Birkhoff averages in Polish dynamical systems with a specification property
Konrad Deka, Steve Jackson, Dominik Kwietniak +1
We study the descriptive complexity of sets of points defined by placing restrictions on statistical behaviour of their orbits in dynamical systems on Polish spaces. A particular e…