Sebastian Barbieri (Bordeaux) On the relation between topological entropy and asymptotic pairs

Abstract: I will present some results that state that under certain
topological conditions, any action of a countable amenable group with
positive topological entropy admits off-diagonal asymptotic pairs. I
shall explain the latest results on this topic and present a new
approach, inspired from thermodynamical formalism and developed in
collaboration with Felipe García-Ramos and Hanfeng Li, which unifies all
previous results and yields new classes of algebraic actions for which
positive entropy yields non-triviality of their associated homoclinic group.


Tue, 21/01/2020 - 14:00 to 15:00