This volume focuses on the concrete interplay between the analytic, probabilistic and geometric aspects of Markov diffusion semigroups. It covers a large body of results and techniques, from the early developments in the mid-eighties to current achievements.
Bakry, Dominique: Hypercontractivity and its Usage in Semigroup Theory.- Ledoux, Michel: Isoperimetry and Gaussian Analysis.- Saloff-Coste, Laurent: Lectures on Finite Markov Chains.
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