Read e-book online Analytic and Probabilistic Approaches to Dynamics in PDF

By Françoise Dal'Bo,Marc Peigné,Andrea Sambusetti

ISBN-10: 3319048066

ISBN-13: 9783319048062

The paintings involves introductory classes, constructing various issues of view at the examine of the asymptotic behaviour of the geodesic move, specifically: the probabilistic process through martingales and combining (by Stéphane Le Borgne); the semi-classical strategy, through operator idea and resonances (by Frédéric Faure and Masato Tsujii). The contributions goal to offer a self-contained advent to the guidelines in the back of the 3 various ways to the research of hyperbolic dynamics. the 1st contribution specialize in the convergence in the direction of a Gaussian legislation 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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Analytic and Probabilistic Approaches to Dynamics in Negative Curvature (Springer INdAM Series) by Françoise Dal'Bo,Marc Peigné,Andrea Sambusetti

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