Analysis and geometry of Markov diffusion operators /

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Bibliographic Details
Author / Creator:Bakry, D. (Dominique), author.
Imprint:Cham [Switzerland] ; New York : Springer, [2014]
Description:xx, 552 pages ; 24 cm.
Series:Grundlehren der mathematischen Wissenschaften, 0072-7830 ; 348
Grundlehren der mathematischen Wissenschaften ; 348.
Subject:Markov operators.
Markov processes.
Diffusion processes.
Format: Print Book
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Varying Form of Title:Markov diffusion operators
Other authors / contributors:Gentil, Ivan, author.
Ledoux, Michel, 1958- author.
ISBN:9783319002262 (acid-free paper)
3319002260 (acid-free paper)
9783319002279 (eBook)
3319002279 (eBook)
Notes:Includes bibliographical references (pages 527-545) and index.
Summary:"The present volume is an extensive monograph on the analytic and geometric aspects of Markov diffusion operators. It focuses on the geometric curvature properties of the underlying structure in order to study convergence to equilibrium, spectral bounds, functional inequalities such as Poincaré, Sobolev or logarithmic Sobolev inequalities, and various bounds on solutions of evolution equations. At the same time, it covers a large class of evolution and partial differential equations. The book is intended to serve as an introduction to the subject and to be accessible for beginning and advanced scientists and non-specialists. Simultaneously, it covers a wide range of results and techniques from the early developments in the mid-eighties to the latest achievements. As such, students and researchers interested in the modern aspects of Markov diffusion operators and semigroups and their connections to analytic functional inequalities, probabilistic convergence to equilibrium and geometric curvature will find it especially useful. Selected chapters can also be used for advanced courses on the topic"--Back cover.
Other form:9783319002279

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Call Number: QA274.7 .B34 2014
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