By 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 houses of the underlying constitution with a purpose to learn convergence to equilibrium, spectral bounds, practical inequalities akin to Poincaré, Sobolev or logarithmic Sobolev inequalities, and numerous bounds on suggestions of evolution equations. whilst, it covers a wide classification of evolution and partial differential equations.
The publication is meant to function an advent to the topic and to be obtainable for starting and complex scientists and non-specialists. at the same time, it covers quite a lot of effects and methods from the early advancements within the mid-eighties to the most recent achievements. As such, scholars and researchers attracted 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 beneficial. chosen chapters is also used for complex classes at the topic.
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