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 makes a speciality of the geometric curvature houses of the underlying constitution on the way to research convergence to equilibrium, spectral bounds, practical inequalities reminiscent of Poincaré, Sobolev or logarithmic Sobolev inequalities, and numerous bounds on strategies of evolution equations. while, it covers a wide type of evolution and partial differential equations.
The ebook is meant to function an creation to the topic and to be obtainable for starting and complex scientists and non-specialists. concurrently, it covers a variety of effects and strategies from the early advancements within the mid-eighties to the newest achievements. As such, scholars and researchers drawn to the fashionable features of Markov diffusion operators and semigroups and their connections to analytic useful inequalities, probabilistic convergence to equilibrium and geometric curvature will locate it particularly worthy. chosen chapters is usually used for complicated classes at the topic.
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Extra info for Analysis and Geometry of Markov Diffusion Operators (Grundlehren der mathematischen Wissenschaften)
Analysis and Geometry of Markov Diffusion Operators (Grundlehren der mathematischen Wissenschaften) by Dominique Bakry,Ivan Gentil,Michel Ledoux