Dynamical Systems Seminar
Friday March 24th, 2023
Time: 2:30 PM
Title: Minimal sets of regular Denjoy-like maps
Speaker: Sergiy Merenkov, City College of New York and CUNY Graduate Center
Location: Math P-131
Abstract:
I will discuss how regularity of invertible self-maps of certain manifolds influences the geometry of the corresponding minimal sets. A particular attention will be given to smooth and quasiconformal homeomorphisms of $n$-tori, $n≥ 2$, and hyperbolic surfaces. The results to be presented are higher dimensional versions of Denjoy's theorem on topological conjugacy for circle diffeomorphisms.