The Resource Analysis and Geometry of Markov Diffusion Operators, by Dominique Bakry, Ivan Gentil, Michel Ledoux, (electronic resource)

Analysis and Geometry of Markov Diffusion Operators, by Dominique Bakry, Ivan Gentil, Michel Ledoux, (electronic resource)

Label
Analysis and Geometry of Markov Diffusion Operators
Title
Analysis and Geometry of Markov Diffusion Operators
Statement of responsibility
by Dominique Bakry, Ivan Gentil, Michel Ledoux
Creator
Contributor
Author
Provider
Subject
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 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
Member of
http://library.link/vocab/creatorName
Bakry, Dominique
Image bit depth
0
LC call number
QA299.6-433
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Gentil, Ivan.
  • Ledoux, Michel.
  • SpringerLink
Series statement
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,
Series volume
348
http://library.link/vocab/subjectName
  • Mathematics
  • Global analysis (Mathematics)
  • Functional analysis
  • Differential equations, partial
  • Global differential geometry
  • Distribution (Probability theory)
  • Mathematics
  • Analysis
  • Probability Theory and Stochastic Processes
  • Differential Geometry
  • Partial Differential Equations
  • Functional Analysis
Label
Analysis and Geometry of Markov Diffusion Operators, by Dominique Bakry, Ivan Gentil, Michel Ledoux, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
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.Poincaré 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 -- Bibliography -- Index
Dimensions
unknown
Extent
XX, 552 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783319002279
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-00227-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-00227-9
Label
Analysis and Geometry of Markov Diffusion Operators, by Dominique Bakry, Ivan Gentil, Michel Ledoux, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
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.Poincaré 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 -- Bibliography -- Index
Dimensions
unknown
Extent
XX, 552 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783319002279
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-00227-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-00227-9

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