Analysis and Geometry of Markov Diffusion Operators eBook

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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 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 andgeometric curvature will find it especially useful. Selected chapters can also be used for advanced courses on the topic.

This is a digital product.

Analysis and Geometry of Markov Diffusion Operators is written by Dominique Bakry; Ivan Gentil; Michel Ledoux and published by Springer. The Digital and eTextbook ISBNs for Analysis and Geometry of Markov Diffusion Operators are 9783319002279, 3319002279 and the print ISBNs are 9783319002262, 3319002260.