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Analysis and Geometry of Markov Diffusion Operators by Dominique Bakry (English)
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Item specifics
- Condition
- ISBN-13
- 9783319343235
- Book Title
- Analysis and Geometry of Markov Diffusion Operators
- ISBN
- 9783319343235
About this product
Product Identifiers
Publisher
Springer International Publishing A&G
ISBN-10
3319343238
ISBN-13
9783319343235
eBay Product ID (ePID)
240656543
Product Key Features
Number of Pages
Xx, 552 Pages
Language
English
Publication Name
Analysis and Geometry of Markov Diffusion Operators
Publication Year
2016
Subject
Geometry / Differential, Probability & Statistics / Stochastic Processes, Probability & Statistics / General, Mathematical Analysis
Type
Textbook
Subject Area
Mathematics
Series
Grundlehren Der Mathematischen Wissenschaften Ser.
Format
Trade Paperback
Dimensions
Item Height
1.2 in
Item Weight
30.5 Oz
Item Length
9.2 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Trade
Dewey Edition
23
Reviews
"It is extremely rich. It is more original and inspirational than a treatise. One can use it and benefit from it in many ways: as a reference book, as an inspiration source, by focusing on a property or on an example. ... From the beginning to the end, this book definitely has a strong personality and a characteristic taste. ... anybody who wants to explore analytic, probabilistic or geometric properties of Markov semigroups to have a look at it first." (Thierry Coulhon, Jahresbericht der Deutschen Math-Vereinigung, Vol. 119, 2017) "This impressive monograph is about an important and highly active area that straddles the fertile land occupied by both probability and analysis. ... It is written with great clarity and style, and was clearly a labour of love for the authors. I am convinced that it will be a valuable resource for researchers in analysis and probability for many years to come." (David Applebaum, The Mathematical Gazette, Vol. 100 (548), July, 2016), "The book is friendly written and is of a rich content. With simple examples, main ideas of the study are clearly explained and naturally extended to a general framework, so that main progress in the field made for the past decades is presented in a smooth way. The monograph is undoubtedly a significant reference for further development of diffusion semigroups and related topics." (Feng-Yu Wang, zbMATH 1376.60002, 2018) "It is extremely rich. It is more original and inspirational than a treatise. One can use it and benefit from it in many ways: as a reference book, as an inspiration source, by focusing on a property or on an example. ... From the beginning to the end, this book definitely has a strong personality and a characteristic taste. ... anybody who wants to explore analytic, probabilistic or geometric properties of Markov semigroupsto have a look at it first." (Thierry Coulhon, Jahresbericht der Deutschen Math-Vereinigung, Vol. 119, 2017) "This impressive monograph is about an important and highly active area that straddles the fertile land occupied by both probability and analysis. ... It is written with great clarity and style, and was clearly a labour of love for the authors. I am convinced that it will be a valuable resource for researchers in analysis and probability for many years to come." (David Applebaum, The Mathematical Gazette, Vol. 100 (548), July, 2016), "The book is friendly written and is of a rich content. With simple examples, main ideas of the study are clearly explained and naturally extended to a general framework, so that main progress in the field made for the past decades is presented in a smooth way. The monograph is undoubtedly a significant reference for further development of diffusion semigroups and related topics." (Feng-Yu Wang, zbMATH 1376.60002, 2018) "It is extremely rich. It is more original and inspirational than a treatise. One can use it and benefit from it in many ways: as a reference book, as an inspiration source, by focusing on a property or on an example. ... From the beginning to the end, this book definitely has a strong personality and a characteristic taste. ... anybody who wants to explore analytic, probabilistic or geometric properties of Markov semigroups to have a look at it first." (Thierry Coulhon, Jahresbericht der Deutschen Math-Vereinigung, Vol. 119, 2017) "This impressive monograph is about an important and highly active area that straddles the fertile land occupied by both probability and analysis. ... It is written with great clarity and style, and was clearly a labour of love for the authors. I am convinced that it will be a valuable resource for researchers in analysis and probability for many years to come." (David Applebaum, The Mathematical Gazette, Vol. 100 (548), July, 2016), "This impressive monograph is about an important and highly active area that straddles the fertile land occupied by both probability and analysis. ... It is written with great clarity and style, and was clearly a labour of love for the authors. I am convinced that it will be a valuable resource for researchers in analysis and probability for many years to come." (David Applebaum, The Mathematical Gazette, Vol. 100 (548), July, 2016)
Series Volume Number
348
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
519.233
Table Of Content
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.
Synopsis
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., This volume focuses on the concrete interplay between the analytic, probabilistic and geometric aspects of Markov diffusion semigroups. It covers a large body of results and techniques, from the early developments in the mid-eighties to current achievements., 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 andgeometric curvature will find it especially useful. Selected chapters can also be used for advanced courses on the topic.
LC Classification Number
QA299.6-433
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- w***i (871)- Feedback left by buyer.Past monthVerified purchaseAbsolutely Wonderful Seller!! Terrific Item As Described!!! Great Service and Communication!! Shipped In Waterproof Packaging!! I Received Item In About One Week!! Very Pleased With Seller! I Will Buy From This Seller Again!!
- r***r (2961)- Feedback left by buyer.Past 6 monthsVerified purchaseBook arrived today, 2 days before deadline given by the seller. Well-packaged & in good condition. Price was very competitive, & the book was accurately listed. Great communication. I appreciate the seller getting back to me when I was having trouble tracking the book's delivery progress. Apparently there were 2 different tracking numbers - one in Canada & the other in the U.S., since it was initially shipped from Canada. Thank you very much for your quick response & helpful information.Rethinking Investing: A Very Short Guide to Very Long-Term Investing by Charles (#396183075510)
- e***_ (15)- Feedback left by buyer.Past 6 monthsVerified purchaseSeller handles a massive inventory so I give them grace on the slow processing and shipping. They were very communicative and prompt with their response when I messaged in asking about it. Book was in good condition as described. Small ding on the page edges which wasn't mentioned, but that's fairly common even at your typical book store. Still a good value and I'd buy from them again.
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Seller Feedback (1,054,277)
- w***i (871)- Feedback left by buyer.Past monthVerified purchaseAbsolutely Wonderful Seller!! Terrific Item As Described!!! Great Service and Communication!! Shipped In Waterproof Packaging!! I Received Item In About One Week!! Very Pleased With Seller! I Will Buy From This Seller Again!!
- r***r (2961)- Feedback left by buyer.Past 6 monthsVerified purchaseBook arrived today, 2 days before deadline given by the seller. Well-packaged & in good condition. Price was very competitive, & the book was accurately listed. Great communication. I appreciate the seller getting back to me when I was having trouble tracking the book's delivery progress. Apparently there were 2 different tracking numbers - one in Canada & the other in the U.S., since it was initially shipped from Canada. Thank you very much for your quick response & helpful information.Rethinking Investing: A Very Short Guide to Very Long-Term Investing by Charles (#396183075510)
- e***_ (15)- Feedback left by buyer.Past 6 monthsVerified purchaseSeller handles a massive inventory so I give them grace on the slow processing and shipping. They were very communicative and prompt with their response when I messaged in asking about it. Book was in good condition as described. Small ding on the page edges which wasn't mentioned, but that's fairly common even at your typical book store. Still a good value and I'd buy from them again.