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

By Françoise Dal'Bo,Marc Peigné,Andrea Sambusetti

The paintings contains introductory classes, constructing diverse issues of view at the research of the asymptotic behaviour of the geodesic stream, particularly: the probabilistic technique through martingales and combining (by Stéphane Le Borgne); the semi-classical method, through operator idea and resonances (by Frédéric Faure and Masato Tsujii). The contributions objective to offer a self-contained creation to the guidelines in the back of the 3 various techniques to the research of hyperbolic dynamics. the 1st contribution specialize in the convergence in the direction of a Gaussian legislations of definitely normalized ergodic sums (Central restrict Theorem). the second offers 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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