Analytic and Probabilistic Approaches to Dynamics in Negative Curvature
Françoise Dal’Bo editor Marc Peigné editor Andrea Sambusetti editor
Format:Hardback
Publisher:Springer International Publishing AG
Published:1st Aug '14
Currently unavailable, and unfortunately no date known when it will be back
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.
ISBN: 9783319048062
Dimensions: unknown
Weight: 3554g
138 pages
2014 ed.