Analytic and Probabilistic Approaches to Dynamics in Negative Curvature

• Corporate Author: SpringerLink (Online service)
• Other Authors: Dal'Bo, Françoise (Editor), Peigné, Marc (Editor), Sambusetti, Andrea (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Springer INdAM Series, 9
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Operator theory.; Differential geometry.; Hyperbolic geometry.; Probabilities.; Dynamical Systems and Ergodic Theory.; Probability Theory and Stochastic Processes.; Operator Theory.; Hyperbolic Geometry.; Differential Geometry.

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 first central limit theorem for the geodesic flow was prov...