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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Analytic and Probabilistic Approaches to Dynamics in Negative Curvature

Analytic and Probabilistic Approaches to Dynamics in Negative Curvature

Dal'bo, Françoise
Peigné, Marc
Sambusetti, Andrea

Paperback

Series: Springer Indam, Book 9

General MathematicsProbability & Statistics

ISBN10: 3319381172
ISBN13: 9783319381176
Publisher: Springer Nature
Published: Aug 23 2016
Pages: 138
Weight: 0.49
Height: 0.33 Width: 6.14 Depth: 9.21
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.

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