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Item Details
| Title:
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ANALYSIS AND GEOMETRY OF MARKOV DIFFUSION OPERATORS
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| By: |
Dominique Bakry, Ivan Gentil, Michel Ledoux |
| Format: |
Paperback |
| List price:
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£99.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3319343238 |
| ISBN 13: |
9783319343235 |
| Publisher: |
SPRINGER INTERNATIONAL PUBLISHING AG |
| Pub. date: |
23 August, 2016 |
| Edition: |
Softcover reprint of the original 1st ed. 2014 |
| 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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