Analytic and Probabilistic Approaches to Dynamics in Negative Curvature

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Statistics
Cover of the book Analytic and Probabilistic Approaches to Dynamics in Negative Curvature by , Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: ISBN: 9783319048079
Publisher: Springer International Publishing Publication: July 17, 2014
Imprint: Springer Language: English
Author:
ISBN: 9783319048079
Publisher: Springer International Publishing
Publication: July 17, 2014
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Neutron Scattering and Other Nuclear Techniques for Hydrogen in Materials by
Cover of the book Stable Isotope Geochemistry by
Cover of the book Real-Time Stability in Power Systems by
Cover of the book Innovative Methods in Media and Communication Research by
Cover of the book Video Analytics. Face and Facial Expression Recognition and Audience Measurement by
Cover of the book Advanced Information Technology, Services and Systems by
Cover of the book The Impact of Displaced People’s Temporary Shelters on their Surrounding Environment by
Cover of the book Ultrafast Phenomena XIX by
Cover of the book The Private Sport Sector in Europe by
Cover of the book Mathematical Methods in Physics by
Cover of the book Landmarks by
Cover of the book Computer Aided Virtual Manufacturing Using Creo Parametric by
Cover of the book Themes, Issues and Problems in African Philosophy by
Cover of the book Snakes of Italy by
Cover of the book Cultural Distance in International Ventures by
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy