{"product_id":"analytic-and-probabilistic-approaches-to-dynamics-in-negative-curvature-von-francoise-dalbo-marc-peigne-andrea-sambusetti-hrsg-1","title":"Analytic and Probabilistic Approaches to Dynamics in Negative Curvature","description":"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.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783319381176\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783319048062\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783319381176","offer_id":39425409384541,"sku":"9783319381176","price":53.49,"currency_code":"EUR","in_stock":true},{"title":"Hardcover - 9783319048062","offer_id":40590531625053,"sku":"9783319048062","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/af14d09e-2045-43e1-9869-7a177388a8c6.jpg?v=1772170952","url":"https:\/\/shop.autorenwelt.de\/products\/analytic-and-probabilistic-approaches-to-dynamics-in-negative-curvature-von-francoise-dalbo-marc-peigne-andrea-sambusetti-hrsg-1","provider":"Autorenwelt Shop","version":"1.0","type":"link"}