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Analysis and Geometry of Markov Diffusion Operators

Analysis and Geometry of Markov Diffusion Operators

by Dominique BakryIvan Gentil and Michel Ledoux
Hardback
Publication Date: 27/11/2013
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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.
ISBN:
9783319002262
9783319002262
Category:
Probability & statistics
Format:
Hardback
Publication Date:
27-11-2013
Language:
English
Publisher:
Springer International Publishing AG
Country of origin:
Switzerland
Pages:
552
Dimensions (mm):
235x155x31mm
Weight:
9.75kg

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