Kosma Kasprzak

collaborators

4 papers

math.DS2026

IC-rigidity for abelian actions

Adam Kanigowski, Kosma Kasprzak, Miriam Lorenzo-Laguno

Let $G$ be a group acting continuously on a compact metric space $X$ . This naturally induces an action of $G$ on the space $K (X)$ of nonempty compact subsets of $X$ . In […

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 $(X, T)$ . First, we prove that if there exists an increasing sequence…