Lectures on Probability Theory and Statistics: Ecole d'Et¿¿ de Probabilit¿¿s de Saint-Flour XXXII - 2002 - Couverture souple

Tsirelson, Boris; Werner, Wendelin; Picard, Jean

Couverture souple

ISBN 10 : 3540213163 ISBN 13 : 9783540213161

Editeur : Springer, 2008

Synopsis

This is yet another indispensable volume for all probabilists and collectors of the Saint-Flour series, and is also of great interest for mathematical physicists. It contains two of the three lecture courses given at the 32nd Probability Summer School in Saint-Flour (July 7-24, 2002). Tsirelson's lectures introduce the notion of nonclassical noise produced by very nonlinear functions of many independent random variables, for instance singular stochastic flows or oriented percolation. Werner's contribution gives a survey of results on conformal invariance, scaling limits and properties of some two-dimensional random curves. It provides a definition and properties of the Schramm-Loewner evolutions, computations (probabilities, critical exponents), the relation with critical exponents of planar Brownian motions, planar self-avoiding walks, critical percolation, loop-erased random walks and uniform spanning trees.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2008
• Langue: anglais
• ISBN 10: 3540213163
• ISBN 13: 9783540213161
• Reliure: Broché
• Nombre de pages: 208
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Tiergartenstr. 17; Heidelberg; 69121; Allemagne