3 papers
math.DS2026
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…
math.DS2025
Distribution of polynomial orbits in Toeplitz systems
Kosma Kasprzak
We examine the convergence of ergodic averages along polynomials in Toeplitz systems and prove that it is possible for averages along one polynomial to converge, and along another…
math.DS2025
Equidistribution of orbits at polynomial times in rigid dynamical systems
Kosma Kasprzak
We study distribution of orbits sampled at polynomial times for uniquely ergodic topological dynamical systems . First, we prove that if there exists an increasing sequence…