000			01941nam a22002057a 4500
003			OSt
005			20241007101057.0
008			241007b |||||||| |||| 00| 0 eng d
020			_a9783319002262
100			_aBakry, Dominique
245			_aAnalysis and Geometry of Markov Diffusion Operators/ _cDominique Bakry ;Ivan Gentil ; Michel Ledoux
260			_aSwitzerland: _bSpringer International Publishing, _c2014.
490			_aGrundlehren der mathematischen Wissenschaften 348
500			_aA Series of Comprehensive Studies in Mathematics
505			_aMarkov Semigroups, Basic and Examples Three Model Functional Inequalities Related Functional, Isoperimetric and Transportation Inequalities
520			_aThe 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, Sobolev or logarithmic Sobolev inequalities, and various bounds on solutions of evolution equations. At the same time, it covers a large class of evolution and partial differential equations. The book is intended to serve as an introduction to the subject and to be accessible for beginning and advanced scientists and non-specialists. Simultaneously, it covers a wide range of results and techniques from the early developments in the mid-eighties to the latest achievements. As such, students and researchers interested in the modern aspects of Markov diffusion operators and semigroups and their connections to analytic functional inequalities, probabilistic convergence to equilibrium andgeometric curvature will find it especially useful. Selected chapters can also be used for advanced courses on the topic.
650			_aMarkov Diffusion Operators
700			_aGentil, Ivan
942			_2ddc _cBK _e23rd ed. _kBAKR _m515
999			_c23133 _d23133