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Lectures on probability theory and statistics : Ecole d'Eté de probabilités de Saint-Flour XXXII-2002

Auteur : Boris Tsirelson; Wendelin Werner
Éditeur : Berlin ; New York : Springer-Verlag, ©2004.
Collection : Lecture notes in mathematics (Springer-Verlag), 1840.
Édition/format :   Livre électronique : Document : Publication de conférence : Anglais : 1. AuflVoir toutes les éditions et tous les formats
Base de données :WorldCat
Résumé :
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). Boris Tsirelson's lectures introduce the notion of nonclassical noise produced by very nonlinear functions of many independent random  Lire la suite...
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Genre/forme : Electronic books
Conference proceedings
Congresses
Format – détails additionnels : Print version:
Tsirelson, Boris.
Lectures on probability theory and statistics.
Berlin ; New York : Springer-Verlag, ©2004
(DLC) 2006299567
(OCoLC)54973817
Type d’ouvrage : Publication de conférence, Document, Ressource Internet
Format : Ressource Internet, Fichier informatique
Tous les auteurs / collaborateurs : Boris Tsirelson; Wendelin Werner
ISBN : 9783540399827 3540399828
Numéro OCLC : 56338001
Description : 1 online resource (vii, 200 pages) : illustrations.
Contenu : pt. l. Scaling limit, noise, stability / Boris Tsirelson --
pt. 2. Random planar curves and Schramm-Loewner evolutions / Wendelin Werner.
Titre de collection : Lecture notes in mathematics (Springer-Verlag), 1840.
Responsabilité : Boris Tsirelson, Wendelin Werner ; editor, Jean Picard.
Plus d’informations :

Résumé :

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). Boris 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. Two examples are examined (noise made by a Poisson snake, the Brownian web). A new framework for the scaling limit is proposed, as well as old and new results about noises, stability, and spectral measures. Wendelin 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.

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