Analysis and Geometry of Markov Diffusion Operators

• Main Authors: Bakry, Dominique (Author), Gentil, Ivan (Author), Ledoux, Michel (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 348
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Partial differential equations.; Differential geometry.; Probabilities.; Analysis.; Probability Theory and Stochastic Processes.; Differential Geometry.; Partial Differential Equations.; Functional Analysis.

The present volume is an extensive monograph on the analytic and geometric aspects of Markov diffusion operators. It focuses on the geometric curvature properties of the underlying structure in order to study convergence to equilibrium, spectral bounds, functional inequalities such as Poincaré, Sobo...