Analytic and Probabilistic Approaches to Dynamics in Negative Curvature - Couverture souple

Couverture souple

ISBN 10 : 3319381172 ISBN 13 : 9783319381176

Editeur : Springer, 2016

Synopsis

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.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2016
• Langue: anglais
• ISBN 10: 3319381172
• ISBN 13: 9783319381176
• Reliure: Broché
• Nombre de pages: 152
• Éditeur: Dal'Bo Françoise, Peigné Marc, Sambusetti Andrea
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne