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Download Analysis and Geometry of Markov Diffusion Operators by Dominique Bakry,Ivan Gentil,Michel Ledoux PDF

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 which will learn convergence to equilibrium, spectral bounds, useful inequalities akin to Poincaré, Sobolev or logarithmic Sobolev inequalities, and diverse bounds on ideas of evolution equations. whilst, it covers a wide category of evolution and partial differential equations.

The ebook is meant to function an advent to the topic and to be obtainable for starting and complicated 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 trendy elements of Markov diffusion operators and semigroups and their connections to analytic sensible inequalities, probabilistic convergence to equilibrium and geometric curvature will locate it in particular important. chosen chapters is additionally used for complex classes at the topic.

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Analysis and Geometry of Markov Diffusion Operators (Grundlehren der mathematischen Wissenschaften)

The current quantity is an intensive monograph at the analytic and geometric elements of Markov diffusion operators. It makes a speciality of the geometric curvature homes of the underlying constitution so one can examine convergence to equilibrium, spectral bounds, useful inequalities equivalent to Poincaré, Sobolev or logarithmic Sobolev inequalities, and numerous bounds on strategies of evolution equations.

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