On the relation between topological entropy and asymptotic pairs
Sebastián Barbieri (Université de Bordeaux)
Monday, January 27, 2020, 11:10 – 12:00, -101
Please Note the Unusual Day!
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.