Download PDF by Françoise Dal'Bo,Marc Peigné,Andrea Sambusetti: Analytic and Probabilistic Approaches to Dynamics in

By Françoise Dal'Bo,Marc Peigné,Andrea Sambusetti

The paintings contains introductory classes, constructing various issues of view at the examine of the asymptotic behaviour of the geodesic stream, particularly: the probabilistic strategy through martingales and combining (by Stéphane Le Borgne); the semi-classical strategy, by way of operator conception and resonances (by Frédéric Faure and Masato Tsujii). The contributions goal to offer a self-contained advent to the guidelines at the back of the 3 diverse techniques to the research of hyperbolic dynamics. the 1st contribution concentrate on the convergence in the direction of a Gaussian legislation of definitely normalized ergodic sums (Central restrict Theorem). the second bargains with move Operators and the constitution in their spectrum (Ruelle-Pollicott resonances), explaining the relation with the asymptotics of time correlation functionality and the periodic orbits of the dynamics.

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Analytic and Probabilistic Approaches to Dynamics in Negative Curvature (Springer INdAM Series) by Françoise Dal'Bo,Marc Peigné,Andrea Sambusetti

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