Dynamical & Probability

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  • 2020 Jan 21

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

    2:00pm to 3:00pm

    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