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Item Details
Title: ANALYSIS AND GEOMETRY OF MARKOV DIFFUSION OPERATORS
By: Dominique Bakry, Ivan Gentil, Michel Ledoux
Format: Hardback

List price: £119.99
Our price: £104.99
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12.5% off
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ISBN 10: 3319002260
ISBN 13: 9783319002262
Availability: Usually dispatched within 1-3 weeks.
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Publisher: SPRINGER INTERNATIONAL PUBLISHING AG
Pub. date: 16 November, 2013
Edition: 2014 ed.
Series: Grundlehren der mathematischen Wissenschaften 348
Pages: 552
Description: This volume focuses on the concrete interplay between the analytic, probabilistic and geometric aspects of Markov diffusion semigroups. It covers a large body of results and techniques, from the early developments in the mid-eighties to current achievements.
Synopsis: 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 Poincare, 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.
Illustrations: XX, 552 p.
Publication: Switzerland
Imprint: Springer International Publishing AG
Returns: Returnable
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