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[EAN: 9783642080876], Neubuch, [PU: Berlin Springer], Besorgungstitel Neuware - Rare Book Procurement - 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. 480 pp. Englisch, Books<
[EAN: 9783642080876], Neubuch, [PU: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, Berlin], ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international… Mehr…
[EAN: 9783642080876], Neubuch, [PU: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, Berlin], ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Trade paperback (US). 494 p. Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3 Folge /A Series of Modern Surveys in Mathematics., 23. Audience: Professional and scholarly., Books<
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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.
Detailangaben zum Buch - 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 Taschenbuch Erscheinungsjahr: 2010 Herausgeber: Springer-Verlag GmbH 496 Seiten Gewicht: 0,921 kg Sprache: eng/Englisch
Buch in der Datenbank seit 2011-02-06T20:14:11+01:00 (Berlin) Detailseite zuletzt geändert am 2023-09-29T13:55:18+02:00 (Berlin) ISBN/EAN: 9783642080876
ISBN - alternative Schreibweisen: 3-642-08087-1, 978-3-642-08087-6 Alternative Schreibweisen und verwandte Suchbegriffe: Autor des Buches: ledoux, michel, led Titel des Buches: mathematik, mathe, surveys modern mathematics, probability course, probability and banach spaces
Daten vom Verlag:
Autor/in: Michel Ledoux; Michel Talagrand Titel: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge; Probability in Banach Spaces - A Series of Modern Surveys in Mathematics; Isoperimetry and Processes Verlag: Springer Berlin 480 Seiten Erscheinungsjahr: 2010-12-15 Gedruckt / Hergestellt in Deutschland. Gewicht: 0,935 kg Sprache: Englisch 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. Authors are worldwide leading in this field. A state-of-the-art report is more than welcome even for experts of neighbouring fields.
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