3 papers
math.DS2026
Universal minimal flows of the homeomorphism groups of pseudo-solenoids are non-metrizable
Jan Boronski, Aleksandra Kwiatkowska
We note that homeomorphism groups of all pseudo-solenoids, including the pseudo-circle, have non-metrizable universal minimal flows.
math.DS2025
On roundness of rotation sets
Boris Perrot, Jan BoroÅski, Alex Clark
Motivated by the question whether a round disk can be realized as the rotation set of a torus diffeomorphism, we study the roundness of rotation sets of a parametric family of toru…
math.DS2024
Translation algorithms for graph covers
Jan BoroÅski, Henk Bruin, PrzemysÅaw Kucharski
Graph covers are a way to describe continuous maps (and homeomorphisms) of a Cantor set, more generally than e.g.\ Bratteli-Vershik systems. Every continuous map on a zero-dimensio…