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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Analysis and Geometry of Markov Diffusion Operators

Analysis and Geometry of Markov Diffusion Operators

Bakry, Dominique
Gentil, Ivan
LeDoux, Michel

Paperback

Series: Grundlehren Der Mathematischen Wissenschaften, Book 348

General MathematicsGeometryProbability & Statistics

ISBN10: 3319343238
ISBN13: 9783319343235
Publisher: Springer Nature
Published: Aug 23 2016
Pages: 552
Weight: 1.75
Height: 1.16 Width: 6.14 Depth: 9.21
Language: English

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, 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 and geometric curvature will find it especially useful. Selected chapters can also be used for advanced courses on the topic.

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