[PDF.07ia] Analytic and Probabilistic Approaches to Dynamics in Negative Curvature (Springer INdAM Series)

Analytic and Probabilistic Approaches to Dynamics in Negative Curvature (Springer INdAM Series)

[PDF.bn78] Analytic and Probabilistic Approaches to Dynamics in Negative Curvature (Springer INdAM Series)

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 |  2016-08-23 |  2016-08-23 | Original language:English | PDF # 1 |  9.25 x.36 x6.10l,.0 | File type: PDF | 138 pages

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||From the Back Cover||The work of E. Hopf and G.A. Hedlund, in the 1930s, on transitivity and ergodicity of the geodesic flow for hyperbolic surfaces, marked the beginning of the investigation of the statistical properties and stochastic behavior of the flow. The

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 ...

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