MARC details
000 -LEADER |
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01941nam a22002057a 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20241007101057.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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241007b |||||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783319002262 |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Bakry, Dominique |
245 ## - TITLE STATEMENT |
Title |
Analysis and Geometry of Markov Diffusion Operators/ |
Statement of responsibility, etc. |
Dominique Bakry ;Ivan Gentil ; Michel Ledoux |
260 ## - PUBLICATION, DISTRIBUTION, ETC. |
Place of publication, distribution, etc. |
Switzerland: |
Name of publisher, distributor, etc. |
Springer International Publishing, |
Date of publication, distribution, etc. |
2014. |
490 ## - SERIES STATEMENT |
Series statement |
Grundlehren der mathematischen Wissenschaften 348 |
500 ## - GENERAL NOTE |
General note |
A Series of Comprehensive Studies in Mathematics |
505 ## - FORMATTED CONTENTS NOTE |
Formatted contents note |
Markov Semigroups, Basic and Examples<br/>Three Model Functional Inequalities<br/>Related Functional, Isoperimetric and Transportation Inequalities |
520 ## - SUMMARY, ETC. |
Summary, etc. |
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.<br/><br/>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 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Markov Diffusion Operators |
700 ## - ADDED ENTRY--PERSONAL NAME |
Personal name |
Gentil, Ivan |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
Dewey Decimal Classification |
Koha item type |
Books |
Edition |
23rd ed. |
Call number prefix |
BAKR |
Call number suffix |
515 |