5 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…
Dynamical pair assignments
Udayan B. Darji, Felipe García-Ramos
Relations between points in the phase space are central to the study of topological dynamical systems. Since many of these relations share common properties, it is natural to study…
Cellular automata, percolation and dynamical dichotomies
Sebastián Barbieri, Felipe García-Ramos, Siamak Taati
We establish a connection between percolation on the Cayley graphs of a group and the dynamical diversity of cellular automata on that group. Specifically, we demonstrate that Gilm…
Coincidence rank and multivariate equicontinuity
Felipe García-Ramos, Irma León-Torres
The coincidence rank, introduced by Barge and Kwapisz, measures the regularity of the maximal equicontinuous factor of minimal dynamical systems. We provide a characterization of t…
A characterization of μ-equicontinuity for topological dynamical systems
Felipe García-Ramos
Two different notions of μ-equicontinuity that apply to topological dynamical systems and probability measures were studied by Gilman (1987) and Huang-Lu-Ye (2011). One was used to…