Michel Ledoux: Probability in Banach Spaces

Cover: 9783642202117 | Probability in Banach Spaces | Isoperimetry and Processes | Buch | xii

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Beschreibung

Authors are worldwide leading in this field. A state-of-the-art report is more than welcome even for experts of neighbouring fields.

Über den Autor

Michel Ledoux held first a research position with CNRS, and since 1991 is Professor at the University of Toulouse. He is moreover, since 2010, a senior member of the Institut Universitaire de France, having been also a junior member from 1997 to 2002. He has held associate editor appointments for various journals, including the Annals of Probability and Probability Theory and Related Fields (current). His research interests centre on probability, random matrices, logarithmic Sobolev inequalities, probability in Banach spaces.

Michel Talagrand has held a research position with the CNRS since 1974. His thesis was directed by Gustave Choquet and his interests revolve around the theory of stochastic processes and probability in Banach spaces, as well as the mathematical theory of spin glasses. He was invited to deliver a lecture at the International Congress of Mathematicians in 1990, and to deliver a plenary lecture at the same congress in 1998. He received the Loeve Prize (1995) and the Fermat Prize (1997) for his work in probability theory. He was elected to the Paris Academy of Sciences in 2004.

Zusammenfassung

Authors are worldwide leading in this field. A state-of-the-art report is more than welcome even for experts of neighbouring fields.

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2011
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Classics in Mathematics
Inhalt:	xii 480 S. 2 s/w Illustr. 480 p. 2 illus.
ISBN-13:	9783642202117
ISBN-10:	364220211X
Sprache:	Englisch
Herstellernummer:	80052834
Einband:	Kartoniert / Broschiert
Autor:	Ledoux, Michel Talagrand, Michel
Auflage:	First Edition 1991. Reprint of the 1st edition 1991, Springer Berlin Heidelberg
Hersteller:	Springer Springer Vieweg Springer-Verlag GmbH Classics in Mathematics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 27 mm
Von/Mit:	Michel Ledoux (u. a.)
Erscheinungsdatum:	08.07.2011
Gewicht:	0,75 kg