Functional Analysis

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 varied issues of view at the learn of the asymptotic behaviour of the geodesic movement, particularly: the probabilistic strategy through martingales and combining (by Stéphane Le Borgne); the semi-classical method, by way of operator thought and resonances (by Frédéric Faure and Masato Tsujii). The contributions target to offer a self-contained advent to the information at the back of the 3 various techniques 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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