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Geodesic flows: Mixing, zeta functions and resonances

Presented by: 
M Pollicott University of Warwick
Date: 
Tuesday 29th October 2013 - 09:00 to 09:35
Venue: 
INI Seminar Room 1
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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