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

Autor: Boris Tsirelson; Wendelin Werner
Editora: Berlin ; New York : Springer-Verlag, ©2004.
Séries: Lecture notes in mathematics (Springer-Verlag), 1840.
Edição/Formato   e-book : Documento : Publicação de conferência : Inglês : 1. AuflVer todas as edições e formatos
Base de Dados:WorldCat
Resumo:
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  Ler mais...
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Detalhes

Gênero/Forma: Electronic books
Conference papers and proceedings
Congresses
Formato Físico Adicional: Print version:
Tsirelson, Boris.
Lectures on probability theory and statistics.
Berlin ; New York : Springer-Verlag, ©2004
(DLC) 2006299567
(OCoLC)54973817
Tipo de Material: Publicação de conferência, Documento, Recurso Internet
Tipo de Documento: Recurso Internet, Arquivo de Computador
Todos os Autores / Contribuintes: Boris Tsirelson; Wendelin Werner
ISBN: 9783540399827 3540399828
Número OCLC: 56338001
Descrição: 1 online resource (vii, 200 pages) : illustrations.
Conteúdos: pt. l. Scaling limit, noise, stability / Boris Tsirelson --
pt. 2. Random planar curves and Schramm-Loewner evolutions / Wendelin Werner.
Título da Série: Lecture notes in mathematics (Springer-Verlag), 1840.
Responsabilidade: Boris Tsirelson, Wendelin Werner ; editor, Jean Picard.

Resumo:

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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