Analytic and Probabilistic Approaches to Dynamics in Negative Curvature

Name: Analytic and Probabilistic Approaches to Dynamics in Negative Curvature
SKU: 22084771
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Hardback

Series:

Springer Indam Series

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Description

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 Stéphane Le Borgne); the semi-classical approach, by operator theory and resonances (by Frédéric 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.

Release date Australia

August 1st, 2014

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational

Contributors

Edited by Andrea Sambusetti
Edited by Francoise Dal'Bo
Edited by Marc Peigne

Illustrations

12 Illustrations, color; 20 Illustrations, black and white; XI, 138 p. 32 illus., 12 illus. in color.

Pages

138

Series

Springer Indam Series

Dimensions

155x235x10

ISBN-13

9783319048062

Product ID

22084771

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Analytic and Probabilistic Approaches to Dynamics in Negative Curvature

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