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Lectures on Probability Theory: Ecole d'Eté de Probabilites de Saint-Flour XXII - 1992: Ecole d'Ete de Probabilites de Saint-Flour XXII - 1992 (Lecture Notes in Mathematics, 1581, Band 1581) - Softcover

Bakry, Dominique

 
9783540582083: Lectures on Probability Theory: Ecole d'Eté de Probabilites de Saint-Flour XXII - 1992: Ecole d'Ete de Probabilites de Saint-Flour XXII - 1992 (Lecture Notes in Mathematics, 1581, Band 1581)

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

Dominique Bakry held his first research position at the CNRS at the University of Strasbourg, and since 1988 has been a professor at the University of Toulouse. Moreover, since 2004 he has been a senior member of the Institut Universitaire de France. He was editor of the journal Potential Analysis. His research interests center on probability, analysis of Markov operators, differential geometry and orthonormal polynomials. Ivan Gentil held his first position at the University of Paris-Dauphine in 2003 and since 2010 has been a professor at the University of Lyon. His research interests center on analysis, probability, partial differential equations and functional inequalities such as logarithmic Sobolev inequalities. Michel Ledoux held his first research position at the CNRS, and since 1991 has been a professor at the University of Toulouse. Since 2010 he has been a senior member of the Institut Universitaire de France, having been a junior member from 1997 to 2002. He has been associate editor for various journals including the Annals of Probability and Probability Theory and Related Fields, and is currently chief editor of the Electronic Journal of Probability. His research interests center on probability theory and functional analysis, measure concentration, diffusion operators and functional inequalities, random matrices, probability in Banach spaces.

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