{ "item_title" : "Analytic and Probabilistic Approaches to Dynamics in Negative Curvature", "item_author" : [" Françoise Dal'bo", "Marc Peigné", "Andrea Sambusetti "], "item_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 St phane Le Borgne); the semi-classical approach, by operator theory and resonances (by Fr d ric 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.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/3/31/904/806/3319048066_b.jpg", "price_data" : { "retail_price" : "54.99", "online_price" : "54.99", "our_price" : "54.99", "club_price" : "54.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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