By Dominique Bakry,Ivan Gentil,Michel Ledoux

The current quantity is an intensive monograph at the analytic and geometric points of Markov diffusion operators. It specializes in the geometric curvature homes of the underlying constitution to be able to examine convergence to equilibrium, spectral bounds, sensible inequalities comparable to Poincaré, Sobolev or logarithmic Sobolev inequalities, and diverse bounds on recommendations of evolution equations. even as, it covers a wide classification of evolution and partial differential equations.

The booklet is meant to function an creation to the topic and to be obtainable for starting and complicated scientists and non-specialists. at the same time, it covers a variety of effects and methods from the early advancements within the mid-eighties to the newest achievements. As such, scholars and researchers drawn to the fashionable facets of Markov diffusion operators and semigroups and their connections to analytic sensible inequalities, probabilistic convergence to equilibrium and geometric curvature will locate it specifically worthwhile. chosen chapters is usually used for complex classes at the topic.

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Analysis and Geometry of Markov Diffusion Operators (Grundlehren der mathematischen Wissenschaften) by Dominique Bakry,Ivan Gentil,Michel Ledoux

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