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

By Françoise Dal'Bo,Marc Peigné,Andrea Sambusetti

ISBN-10: 3319048066

ISBN-13: 9783319048062

The paintings includes introductory classes, constructing diverse issues of view at the examine of the asymptotic behaviour of the geodesic movement, particularly: the probabilistic procedure through martingales and combining (by Stéphane Le Borgne); the semi-classical strategy, by means of operator idea and resonances (by Frédéric Faure and Masato Tsujii). The contributions objective to offer a self-contained advent to the guidelines in the back of the 3 assorted methods to the research of hyperbolic dynamics. the 1st contribution concentrate on the convergence in the direction of a Gaussian legislations of certainly 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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Analytic and Probabilistic Approaches to Dynamics in Negative Curvature (Springer INdAM Series) by Françoise Dal'Bo,Marc Peigné,Andrea Sambusetti


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