On the relation between topological entropy and asymptotic pairs

Sebastián Barbieri
LaBRI, Bordeaux

Date(s) : 30/06/2020   iCal
11 h 00 min - 12 h 00 min

WEBINAIRE (lien: https://webconf.lal.cloud.math.cnrs.fr/b/pie-hmu-en9 )

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.

Sebastián Barbieri (LaBRI, Bordeaux)

FRUMAM, St Charles (2ème étage)


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