The Resource Analysis and Geometry of Markov Diffusion Operators, Dominique Bakry, Ivan Gentil, Michel Ledoux

Analysis and Geometry of Markov Diffusion Operators, Dominique Bakry, Ivan Gentil, Michel Ledoux

Label
Analysis and Geometry of Markov Diffusion Operators
Title
Analysis and Geometry of Markov Diffusion Operators
Statement of responsibility
Dominique Bakry, Ivan Gentil, Michel Ledoux
Creator
Contributor
Author
Subject
Genre
Language
eng
Summary
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 Poincar, 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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Bakry, D.
Dewey number
519.2/33
Index
index present
LC call number
QA274.7
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1958-
http://library.link/vocab/relatedWorkOrContributorName
  • Gentil, Ivan
  • Ledoux, Michel
Series statement
Grundlehren der mathematischen Wissenschaften
Series volume
348
http://library.link/vocab/subjectName
  • Markov operators
  • MATHEMATICS
  • MATHEMATICS
  • Markov operators
  • Diffusionsprozess
  • Markov-Prozess
  • Halbgruppe
Label
Analysis and Geometry of Markov Diffusion Operators, Dominique Bakry, Ivan Gentil, Michel Ledoux
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-00227-9
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Part I Markov semigroups, basics and examples: 1. Markov semigroups -- 2. Model examples -- 3. General setting -- Part II Three model functional inequalities: 4. Poincar inequalities -- 5. Logarithmic Sobolev inequalities -- 6. Sobolev inequalities -- Part III Related functional, isoperimetric and transportation inequalities: 7. Generalized functional inequalities -- 8. Capacity and isoperimetry-type inequalities -- 9. Optimal transportation and functional inequalities -- Part IV Appendices: A. Semigroups of bounded operators on a Banach space -- B. Elements of stochastic calculus -- C. Some basic notions in differential and Riemannian geometry -- Notations and list of symbols
Dimensions
unknown
Extent
1 online resource (xx, 552 pages).
File format
unknown
Form of item
online
Isbn
9783319002262
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-00227-9
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)863638322
  • (OCoLC)ocn863638322
Label
Analysis and Geometry of Markov Diffusion Operators, Dominique Bakry, Ivan Gentil, Michel Ledoux
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-00227-9
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Part I Markov semigroups, basics and examples: 1. Markov semigroups -- 2. Model examples -- 3. General setting -- Part II Three model functional inequalities: 4. Poincar inequalities -- 5. Logarithmic Sobolev inequalities -- 6. Sobolev inequalities -- Part III Related functional, isoperimetric and transportation inequalities: 7. Generalized functional inequalities -- 8. Capacity and isoperimetry-type inequalities -- 9. Optimal transportation and functional inequalities -- Part IV Appendices: A. Semigroups of bounded operators on a Banach space -- B. Elements of stochastic calculus -- C. Some basic notions in differential and Riemannian geometry -- Notations and list of symbols
Dimensions
unknown
Extent
1 online resource (xx, 552 pages).
File format
unknown
Form of item
online
Isbn
9783319002262
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-00227-9
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)863638322
  • (OCoLC)ocn863638322

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