Analysis and Geometry of Markov Diffusion Operators
- 種類:
- 電子ブック
- 責任表示:
- by Dominique Bakry, Ivan Gentil, Michel Ledoux
- 出版情報:
- Cham : Springer International Publishing : Imprint: Springer, 2014
- 著者名:
- シリーズ名:
- Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 348
- ISBN:
- 9783319002279 [3319002279]
- 注記:
- 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 es
- ローカル注記:
- 岐阜大学構成員専用E-BOOKS (Gifu University members only)
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