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Hardcover - 9783319048062
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Beschreibung
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.
Details
| Verlag | Springer International Publishing |
| Ersterscheinung | 23. August 2016 |
| Maße | 23.5 cm x 15.5 cm |
| Gewicht | 2409 Gramm |
| Format | Softcover |
| ISBN-13 | 9783319381176 |
| Auflage | Softcover reprint of the original 1st ed. 2014 |
| Seiten | 138 |
Schlagwörter
Differential Geometry, Differentielle und Riemannsche Geometrie, Dynamical Systems, Dynamical Systems and Ergodic Theory, Funktionalanalysis und Abwandlungen, Hyperbolic Geometry, Kybernetik und Systemtheorie, Nichteuklidische Geometrie, Operator Theory, Probability Theory, Probability Theory and Stochastic Processes, Stochastik, Wahrscheinlichkeitsrechnung und Statistik
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