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

著者: Boris Tsirelson; Wendelin Werner
出版商: Berlin ; New York : Springer-Verlag, ©2004.
丛书: Lecture notes in mathematics (Springer-Verlag), 1840.
版本/格式:   电子图书 : 文献 : 会议刊物 : 英语 : 1. Aufl查看所有的版本和格式
数据库:WorldCat
提要:
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  再读一些...
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详细书目

类型/形式: Electronic books
Conference proceedings
Congresses
附加的形体格式: Print version:
Tsirelson, Boris.
Lectures on probability theory and statistics.
Berlin ; New York : Springer-Verlag, ©2004
(DLC) 2006299567
(OCoLC)54973817
材料类型: 会议刊物, 文献, 互联网资源
文件类型: 互联网资源, 计算机文档
所有的著者/提供者: Boris Tsirelson; Wendelin Werner
ISBN: 9783540399827 3540399828
OCLC号码: 56338001
描述: 1 online resource (vii, 200 pages) : illustrations.
内容: pt. l. Scaling limit, noise, stability / Boris Tsirelson --
pt. 2. Random planar curves and Schramm-Loewner evolutions / Wendelin Werner.
丛书名: Lecture notes in mathematics (Springer-Verlag), 1840.
责任: Boris Tsirelson, Wendelin Werner ; editor, Jean Picard.
更多信息:

摘要:

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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