CRM: Centro De Giorgi
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Seminari di Sistemi Dinamici 2022

SRB measures of singular hyperbolic attractors

speaker: Dominic Veconi (The Abdus Salam International Centre for Theoretical Physics)

abstract: SRB measures and ergodic properties of singular hyperbolic attractors Abstract: Hyperbolic maps admitting singularities have at most countably many ergodic Sinai-Ruelle-Bowen (SRB) measures. These maps include the Belykh attractor, the geometric Lorenz attractor, and more general Lorenz-type systems. In this talk, we will discuss recent developments in singular hyperbolic dynamical systems, including easily verifiable sufficient conditions guaranteeing that the number of ergodic SRB measures is at most finite. We will also discuss topological conditions guaranteeing that the SRB measure is unique.


timetable:
Thu 24 Feb, 14:00 - 15:00,
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