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BGU Probability and Ergodic Theory (PET) seminar

On the relation between topological entropy and asymptotic pairs

Jan 27, 11:10-12:00, 2020, -101


Sebastián Barbieri (Université de Bordeaux)


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.

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