Erschienen: 17.07.2014 Abbildung von Dal'Bo / Peigné / Sambusetti | Analytic and Probabilistic Approaches to Dynamics in Negative Curvature | 2014 | 2014
eBook

Dal'Bo / Peigné / Sambusetti

Analytic and Probabilistic Approaches to Dynamics in Negative Curvature

2014 2014. eBook , eBook. PDF

Springer-Verlag GmbH. ISBN 978-3-319-04807-9

In englischer Sprache

Das Werk ist Teil der Reihe: Springer INdAM Series

Produktbeschreibung

The work consists of two introductory courses, developing different points of view on the study of the asymptotic behaviour of the geodesic flow, namely: the probabilistic approach via martingales and mixing (by St?phane Le Borgne);?the semi-classical approach, by operator theory and resonances (by Fr?d?ric Faure and Masato Tsujii). The contributions aim to give a self-contained introduction to the ideas behind the three different approaches to the investigation of hyperbolic dynamics. The first contribution focus on the convergence towards a Gaussian law of suitably normalized ergodic sums (Central Limit Theorem). The second one deals with Transfer Operators and the structure of their spectrum (Ruelle-Pollicott resonances), explaining the relation with the asymptotics of time correlation function and the periodic orbits of the dynamics.

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