Livres Probabilités

Random Polymers: Ecole dEté de Probabilités de Saint-Flour XXXVII 2007
Random Polymers: Ecole dEté de Probabilités de Saint-Flour XXXVII 2007 (Lecture Notes in Mathematics / Ecole d'Eté Probabilit.Saint-Flour): Frank den Hollander
Springer | ISBN: 364200332X | 2009-05-01 | PDF (OCR) | 258 pages | 2.52 Mb
Polymer chains that interact with themselves and/or with their environment are fascinating objects, displaying a range of interesting physical and chemical phenomena. The focus in this monograph is on the mathematical description of some of these phenomena, with particular emphasis on phase transitions as a function of interaction parameters, associated critical behavior and space-time scaling. Topics include: self-repellent polymers, self-attracting polymers, polymers interacting with interfaces, charged polymers, copolymers near linear or random selective interfaces, polymers interacting with random substrate and directed polymers in random environment. Different techniques are exposed, including the method of local times, large deviations, the lace expansion, generating functions, the method of excursions, ergodic theory, partial annealing estimates, coarse-graining techniques and martingales. Thus, this monograph offers a mathematical panorama of polymer chains, which even today holds plenty of challenges



Seminaire De Probabilites XXV (Lecture Notes in Mathematics) [French]


Seminaire De Probabilites XXV (Lecture Notes in Mathematics) [French]
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K | ISBN: 3540546162 | edition 2002 | DJVU | 440 pages | 2,23 mb


Researchers and graduate students in the theory of stochastic processes will find in this 35th volume some thirty articles on martingale theory, martingales and finance, analytical inequalities and semigroups, stochastic differential equations, functionals of Brownian motion and of Lévy processes. Ledoux's article contains a self-contained introduction to the use of semigroups in spectral gaps and logarithmic Sobolev inequalities; the contribution by Emery and Schachermayer includes an exposition for probabilists of Vershik's theory of backward discrete filtrations.

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Probabilité : Exercices corrigés


Hervé Carrieu “Probabilité : Exercices corrigés"
EDP Sciences | 2008 | ISBN: 2759800067 | 145 pages | PDF | 4,2 MB


Présentation de l'éditeur
Ce recueil d'exercices corrigés complète le livre " Probabilité " de Philippe Barbe et Michel Ledoux, édité dans la même collection et destiné aux étudiants de Licence ou Master de mathématiques (L3-M1). Il en reprend l'ensemble des énoncés de fins de chapitres et propose des solutions détaillées.

Biographie de l'auteur
Hervé Carrieu est professeur en Classes préparatoires.


Probabilités : cours et problèmes

Probabilités : cours et problèmes de Seymour Lipschutz
Djvu | 159 pages | Mac Graw Hill | ISBN: 2704200122 | 2.3 Mb | French