Analytic and Probabilistic Approaches to Dynamics in Negative Curvature
| Autor: | Françoise Dal'Bo, Marc Peigné, Andrea Sambusetti |
|---|---|
| EAN: | 9783319048079 |
| eBook Format: | |
| Sprache: | Englisch |
| Produktart: | eBook |
| Veröffentlichungsdatum: | 17.07.2014 |
| Kategorie: | |
| Schlagworte: | brownian motion central limit theorem fuchsian group hyperbolic dynamics ruelle-pollicott resonances |
53,49 €*
Versandkostenfrei
Die Verfügbarkeit wird nach ihrer Bestellung bei uns geprüft.
Bücher sind in der Regel innerhalb von 1-2 Werktagen abholbereit.
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.
Verwandte Artikel