Analytic and Probabilistic Approaches to Dynamics in Negative Curvature is popular PDF and ePub book, written by Françoise Dal'Bo in 2014-07-17, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Analytic and Probabilistic Approaches to Dynamics in Negative Curvature can be Read Online from any device for your convenience.
Analytic and Probabilistic Approaches to Dynamics in Negative Curvature Book PDF Summary
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.
Detail Book of Analytic and Probabilistic Approaches to Dynamics in Negative Curvature PDF
- Author : Françoise Dal'Bo
- Release : 17 July 2014
- Publisher : Springer
- ISBN : 9783319048079
- Genre : Mathematics
- Total Page : 148 pages
- Language : English
- PDF File Size : 9,5 Mb
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