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Classics in Mathematics Ser.: Probability in Banach Spaces : Isoperimetry and Processes by Michel Talagrand and Michel Ledoux (2011, Trade Paperback)
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About this product
Product Identifiers
PublisherSpringer Berlin / Heidelberg
ISBN-10364220211X
ISBN-139783642202117
eBay Product ID (ePID)27038400572
Product Key Features
Number of PagesXii, 480 Pages
LanguageEnglish
Publication NameProbability in Banach Spaces : Isoperimetry and Processes
Publication Year2011
SubjectFunctional Analysis, Probability & Statistics / General, System Theory, Mathematical Analysis
TypeTextbook
AuthorMichel Talagrand, Michel Ledoux
Subject AreaMathematics, Science
SeriesClassics in Mathematics Ser.
FormatTrade Paperback
Dimensions
Item Weight26.8 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Intended AudienceScholarly & Professional
Dewey Edition23
ReviewsThis book gives an excellent, almost complete account of the whole subject of probability in Banach spaces, a branch of probability theory that has undergone vigorous development... There is no doubt in the reviewer's mind that this book [has] become a classic. MathSciNet As the authors state, "this book tries to present some of the main aspects of the theory of probability in Banach spaces, from the foundation of the topic to the latest developments and current research questions''. The authors have succeeded admirably... This very comprehensive book develops a wide variety of the methods existing ... in probability in Banach spaces. ... It [has] become an event for mathematicians... Zentralblatt MATH, This book gives an excellent, almost complete account of the whole subject of probability in Banach spaces, a branch of probability theory that has undergone vigorous development... There is no doubt in the reviewer's mind that this book [has] become a classic. MathSciNetAs the authors state, "this book tries to present some of the main aspects of the theory of probability in Banach spaces, from the foundation of the topic to the latest developments and current research questions''. The authors have succeeded admirably… This very comprehensive book develops a wide variety of the methods existing … in probability in Banach spaces. … It [has] become an event for mathematicians… Zentralblatt MATH, This book gives an excellent, almost complete account of the whole subject of probability in Banach spaces, a branch of probability theory that has undergone vigorous development... There is no doubt in the reviewer's mind that this book [has] become a classic. MathSciNetAs the authors state, "this book tries to present some of the main aspects of the theory of probability in Banach spaces, from the foundation of the topic to the latest developments and current research questions''. The authors have succeeded admirably... This very comprehensive book develops a wide variety of the methods existing ... in probability in Banach spaces. ... It [has] become an event for mathematicians... Zentralblatt MATH, This book gives an excellent, almost complete account of the whole subject of probability in Banach spaces, a branch of probability theory that has undergone vigorous development... There is no doubt in the reviewer's mind that this book [has] become a classic. MathSciNet As the authors state, "this book tries to present some of the main aspects of the theory of probability in Banach spaces, from the foundation of the topic to the latest developments and current research questions''. The authors have succeeded admirably... This very comprehensive book develops a wide variety of the methods existing ... in probability in Banach spaces. ... It [has] become an event for mathematicians... Zentralblatt MATH, This book gives an excellent, almost complete account of the whole subject of probability in Banach spaces, a branch of probability theory that has undergone vigorous development... There is no doubt in the reviewer's mind that this book [has] become a classic. MathSciNetAs the authors state, "this book tries to present some of the main aspects of the theory of probability in Banach spaces, from the foundation of the topic to the latest developments and current research questions''. The authors have succeeded admirably This very comprehensive book develops a wide variety of the methods existing in probability in Banach spaces. It [has] become an event for mathematicians Zentralblatt MATH
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal519.2
Table Of ContentNotation.- 0. Isoperimetric Background and Generalities.- 1. Isoperimetric Inequalities and the Concentration of Measure Phenomenon.- 2. Generalities on Banach Space Valued Random Variables and Random Processes.- I. Banach Space Valued Random Variables and Their Strong Limiting Properties.- 3. Gaussian Random Variables.- 4. Rademacher Averages.- 5. Stable Random Variables.- 6 Sums of Independent Random Variables.- 7. The Strong Law of Large Numbers.- 8. The Law of the Iterated Logarithm.- II. Tightness of Vector Valued Random Variables and Regularity of Random Processes.- 9. Type and Cotype of Banach Spaces.- 10. The Central Limit Theorem.- 11. Regularity of Random Processes.- 12. Regularity of Gaussian and Stable Processes.- 13. Stationary Processes and Random Fourier Series.- 14. Empirical Process Methods in Probability in Banach Spaces.- 15. Applications to Banach Space Theory.- References.
SynopsisCe livre historique peut contenir de nombreuses coquilles et du texte manquant. Les acheteurs peuvent generalement telecharger une copie gratuite scannee du livre original (sans les coquilles) aupres de l'editeur. Non reference. Non illustre. 1913 edition. Extrait: ...n'y a la ni tromperie ni vol, car ce n'est point une intention mauvaise qui a guide tes actes, mais le respect des saints et le zele de la religion; Pour un Venitien, la fin justifiait les moyens, dans les choses de la piete meme, pourvu que cette fin fut l'interet et la grandeur de la cite. Assurement la devotion aux reliques etait chose generale au Moyen Age et elle ne vaudrait point d'etre notee, si elle n'avait pris a Venise un tour assez particulier. Non seulement c'est faire uvre pie d'enrichir la cite de quelque sainte depouille; mais l'orgueil venitien se plait a imaginer que les saints eprouvent un plaisir special a etre, meme par violence, transportes dans la ville de saint Marc. Le recit que fait, dans sa chronique, le doge Andre Dandolo de l'invention du corps de saint Tarasios est a cet egard tout a fait remarquable. Dans un pays d'Orient, au cours d'une relache, trois marins venitiens entrent dans une eglise, et l'un d'eux entend une voix: Enleve d'ici ce corps saint et emporte-le avec toi . L'homme prie, puis cherche; et pres de l'autel, il apercoit une icone de saint Tarasios, une etoffe accrochee au mur, et, derriere l'etoffe, il decouvre une piece ou les reliques du saint sont exposees entre des lampes. Il se met alors a l' uvre, il essaie de deplacer le corps sacre; et celui-ci, dit la legende, a l'appel de la main du Venitien, semble se preter comme un etre..., Authors are worldwide leading in this field. A state-of-the-art report is more than welcome even for experts of neighbouring fields., Based on recent developments, such as new isoperimetric inequalities and random process techniques, this book presents a thorough treatment of the main aspects of Probability in Banach spaces, and of some of their links to Geometry of Banach spaces., Isoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach spaces (integrability and limit theorems for vector valued random variables, boundedness and continuity of random processes) and of some of their links to Geometry of Banach spaces (via the type and cotype properties). Its purpose is to present some of the main aspects of this theory, from the foundations to the most important achievements. The main features of the investigation are the systematic use of isoperimetry and concentration of measure and abstract random process techniques (entropy and majorizing measures). Examples of these probabilistic tools and ideas to classical Banach space theory are further developed.
LC Classification NumberQA273.A1-274.9
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