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 includes introductory classes, constructing diversified issues of view at the research of the asymptotic behaviour of the geodesic stream, specifically: the probabilistic procedure through martingales and combining (by Stéphane Le Borgne); the semi-classical procedure, via operator conception and resonances (by Frédéric Faure and Masato Tsujii). The contributions goal to provide a self-contained creation to the information at the back of the 3 diversified ways to the research of hyperbolic dynamics. the 1st contribution specialise in the convergence in the direction of a Gaussian legislations 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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