Lectures on Probability Theory

Bakry, Dominique.

Lectures on Probability Theory Ecole d'Eté de Probabilités de Saint-Flour XXII-1992 / [electronic resource] : by Dominique Bakry, Richard D. Gill, Stanislav A. Molchanov ; edited by Pierre Bernard. - VIII, 428 p. online resource. - Lecture Notes in Mathematics, 1581 0075-8434 ; . - Lecture Notes in Mathematics, 1581 .

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

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.

9783540485681

10.1007/BFb0073871 doi


Distribution (Probability theory.
Probability Theory and Stochastic Processes.

QA273.A1-274.9 QA274-274.9

519.2
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