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Statistical and Computational Aspects of Dynamics

Globally coupled Anosov diffeomorphisms

speaker: Fanni Sélley (Universiteit Leiden)

abstract: In this talk we discuss statistical properties of infinite coupled map systems, where the identical individual units are defined by an Anosov diffeomorphism of a smooth manifold. We show that the system has a unique physical invariant state which attracts a suitable class of initial states with exponential speed. Furthermore, we prove 'statistical stability' in the sense that the invariant state is a Lipschitz continuous function of the coupling strength parameter. Joint work with Wael Bahsoun and Carlangelo Liverani.

timetable:
Wed 14 Dec, 11:30 - 12:30, Aula Dini
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