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Více informací o knize Analytic and Probabilistic Approaches to Dynamics in Negative Curvature

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• Anotace
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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Geometry

• Plný název: Analytic and Probabilistic Approaches to Dynamics in Negative Curvature
• Autor: Françoise Dal'Bo, Marc Peigné, Andrea Sambusetti
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 138
• EAN: 9783319048062
• ISBN: 3319048066
• ID: 05266912
• Nakladatelství: Springer International Publishing AG
• Hmotnost: 376 g
• Rozměry: 243 × 159 × 14 mm
• Datum vydání: 18. July 2014

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