Springer
Analytic and Probabilistic Approaches to Dynamics in Negative Curvature
Product Code:
9783319048062
ISBN13:
9783319048062
Condition:
New
$61.47
Analytic and Probabilistic Approaches to Dynamics in Negative Curvature
$61.47
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.
| Author: Fran?oise Dal'bo |
| Publisher: Springer |
| Publication Date: Aug 01, 2014 |
| Number of Pages: 138 pages |
| Binding: Hardback or Cased Book |
| ISBN-10: 3319048066 |
| ISBN-13: 9783319048062 |
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