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

By Françoise Dal'Bo,Marc Peigné,Andrea Sambusetti

The paintings comprises introductory classes, constructing various issues of view at the examine of the asymptotic behaviour of the geodesic circulation, particularly: the probabilistic process through martingales and combining (by Stéphane Le Borgne); the semi-classical technique, via operator thought and resonances (by Frédéric Faure and Masato Tsujii). The contributions target to provide a self-contained creation to the guidelines at the back of the 3 various methods to the research of hyperbolic dynamics. the 1st contribution specialize in the convergence in the direction of a Gaussian legislation 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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