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Probability in Banach Spaces : Isoperimetry and Processes - Michel Ledoux
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Michel Ledoux:

Probability in Banach Spaces : Isoperimetry and Processes - Paperback

2010, ISBN: 3642080871

[EAN: 9783642080876], Neubuch, [PU: Berlin Springer], Besorgungstitel Neuware - Rare Book Procurement - Isoperimetric, measure concentration and random process techniques appear at the ba… More...

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Ledoux, Michel, and Talagrand, Michel:

Probability in Banach Spaces - Paperback

2010, ISBN: 3642080871

[EAN: 9783642080876], Neubuch, [PU: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, Berlin], ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international… More...

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Ledoux, Michel, and Talagrand, Michel:
Probability in Banach Spaces - First edition

2010

ISBN: 9783642080876

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Trade paperback, Trade paperback (US). 494 p. Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3 Folge /A Series of Modern Surveys in Mathematics., 23. Audience: Professional and scholar… More...

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Probability in Banach Spaces : Isoperimetry and Processes - Ledoux, Michel
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Ledoux, Michel:
Probability in Banach Spaces : Isoperimetry and Processes - Paperback

2010, ISBN: 3642080871

[EAN: 9783642080876], Nouveau livre, [SC: 31.22], [PU: Springer], Jacket, **INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint conditio… More...

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Ledoux, Michel:
Probability in Banach Spaces : Isoperimetry and Processes - Paperback

2010, ISBN: 3642080871

[EAN: 9783642080876], Neubuch, [PU: Springer], Jacket, **INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the differen… More...

NEW BOOK. Shipping costs: EUR 31.16 Sizzler Texts, South Pasadena, CA, U.S.A. [56666686] [Rating: 5 (von 5)]
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Probability in Banach Spaces: Isoperimetry and Processes (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics)
Author:
Title:
ISBN:

9783642080876


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.

Details of the book - Probability in Banach Spaces: Isoperimetry and Processes (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics)


EAN (ISBN-13): 9783642080876
ISBN (ISBN-10): 3642080871
Paperback
Publishing year: 2010
Publisher: Springer-Verlag GmbH
496 Pages
Weight: 0,921 kg
Language: eng/Englisch

Book in our database since 2011-02-06T19:14:11+00:00 (London)
Detail page last modified on 2023-09-29T12:55:18+01:00 (London)
ISBN/EAN: 9783642080876

ISBN - alternate spelling:
3-642-08087-1, 978-3-642-08087-6
Alternate spelling and related search-keywords:
Book author: ledoux, michel, led
Book title: mathematik, mathe, surveys modern mathematics, probability course, probability and banach spaces

Information from Publisher

Author: Michel Ledoux; Michel Talagrand
Title: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge; Probability in Banach Spaces - A Series of Modern Surveys in Mathematics; Isoperimetry and Processes
Publisher: Springer Berlin
480 Pages
Publishing year: 2010-12-15
Printed / Made in
Weight: 0,935 kg
Language: English
85,59 € (DE)
87,99 € (AT)
106,50 CHF (CH)
Not available (reason unspecified)

BC; PB; Hardcover, Softcover / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Wahrscheinlichkeitsrechnung und Statistik; Law of large numbers; entropy; Banach Space; logarithm; Random variable; law of the iterated logarithm; Fourier series; measure; differential equation; Research; BB

Notation.- 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.
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