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.
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Analytic and Probabilistic Approaches to Dynamics in Negative Curvature
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.
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Analytic and Probabilistic Approaches to Dynamics in Negative Curvature
138Analytic and Probabilistic Approaches to Dynamics in Negative Curvature
138Paperback(Softcover reprint of the original 1st ed. 2014)
$54.99
54.99
In Stock
Product Details
ISBN-13: | 9783319381176 |
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Publisher: | Springer International Publishing |
Publication date: | 08/01/2015 |
Series: | Springer INdAM Series , #9 |
Edition description: | Softcover reprint of the original 1st ed. 2014 |
Pages: | 138 |
Product dimensions: | 6.10(w) x 9.25(h) x 0.01(d) |
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