Analytic and Probabilistic Approaches to Dynamics in Negative Curvature

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Dal'Bo, Françoise (Επιμελητής έκδοσης), Peigné, Marc (Επιμελητής έκδοσης), Sambusetti, Andrea (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Σειρά: Springer INdAM Series, 9
• Θέματα: 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...