Analytic and Probabilistic Approaches to Dynamics in Negative Curvature
(Sprache: Englisch)
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...
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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.
Inhaltsverzeichnis zu „Analytic and Probabilistic Approaches to Dynamics in Negative Curvature “
1 S. Le Borgne: Martingales in Hyperbolic Geometry2 F. Faure, M. Tsujii: Semi classical Approach for the Ruelle-Pollicott Spectrum of Hyperbolic Dynamics
Bibliographische Angaben
- 2014, 2014, XI, 138 Seiten, 12 farbige Abbildungen, Masse: 16 x 24,1 cm, Gebunden, Englisch
- Herausgegeben: Françoise Dal'Bo, Marc Peigné, Andrea Sambusetti
- Verlag: Springer, Berlin
- ISBN-10: 3319048066
- ISBN-13: 9783319048062
- Erscheinungsdatum: 01.08.2014
Sprache:
Englisch
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