### Geodesic flows: Mixing, zeta functions and resonances

Pollicott, M *(University of Warwick)*

Tuesday 29 October 2013, 09:00-09:35

Seminar Room 1, Newton Institute

#### Abstract

Historically important examples of ``chaotic'' dynamical systems are Anosov flows, in particular, and geodesic flows on negatively curved manifolds. In particular, they provide a concrete setting to explore a wealth of interesting topics: (i) mixing rates (which can be studied using zeta function and resonances); (ii) large deviations and fluctuation theorems (Gallavotti-Cohen theorem in non-equilibrium statistical mechanics); and (iii) escape rates (the rate at which mass escapes from an open system) and extremes.

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