Lectures on Probability Theory: Ecole d'Et� de Probabilites de Saint-Flour XXII - 1992: Ecole D'Ete De Probabilites De Saint-flour XXII, 1992 (Lecture Notes in Mathematics)

Dominique Bakry, Stanislav A. Molchanov, Pierre Bernard, Richard D. Gill

ISBN 10: 3540582088 / ISBN 13: 9783540582083

Editore: Springer 2009-02-22, 2009

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Codice articolo 6666-IUK-9783540582083

Dati bibliografici

• Titolo: Lectures on Probability Theory: Ecole d'Et� de Probabilites de Saint-Flour XXII - 1992: Ecole D'Ete De Probabilites De Saint-flour XXII, 1992 (Lecture Notes in Mathematics)
• Editore: Springer 2009-02-22
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 3540582088
• ISBN 13: 9783540582083
• Rilegatura: Paperback
• Condizione: New

Descrizione articolo

Riassunto

This book contains work-outs of the notes of three 15-hour courses of lectures which constitute surveys on the concerned topics given at the St. Flour Probability Summer School in July 1992. The first course, by D. Bakry, is concerned with hypercontractivity properties and their use in semi-group theory, namely Sobolev and Log Sobolev inequa- lities, with estimations on the density of the semi-groups. The second one, by R.D. Gill, is about statistics on survi- val analysis; it includes product-integral theory, Kaplan- Meier estimators, and a look at cryptography and generation of randomness. The third one, by S.A. Molchanov, covers three aspects of random media: homogenization theory, loca- lization properties and intermittency. Each of these chap- ters provides an introduction to and survey of its subject.

Contenuti

L'hypercontractivité et son utilisation en théorie des semigroupes.- Lectures on survival analysis.- Lectures on random media.