Analytic and Probabilistic Approaches to Dynamics in Negative Curvature (Paperback, Softcover reprint of the original 1st ed. 2014)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Springer INdAM Series, 9
Release date:	August 2016
First published:	2014
Editors:	Françoise Dal'Bo • Marc Peigné • Andrea Sambusetti
Dimensions:	235 x 155 x 8mm (L x W x T)
Format:	Paperback
Pages:	138
Edition:	Softcover reprint of the original 1st ed. 2014
ISBN-13:	978-3-319-38117-6
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > General Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry Books > Science & Mathematics > Mathematics > Topology > General
LSN:	3-319-38117-2
Barcode:	9783319381176

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