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

作者: Boris Tsirelson; Wendelin Werner
出版商: Berlin ; New York : Springer-Verlag, ©2004.
叢書: Lecture notes in mathematics (Springer-Verlag), 1840.
版本/格式:   電子書 : 文獻 : 會議刊物 : 英語 : 1. Aufl所有版本和格式的總覽
資料庫: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  再讀一些...
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詳細書目

類型/形式: Electronic books
Conference proceedings
Congresses
其他的實體格式: Print version:
Tsirelson, Boris.
Lectures on probability theory and statistics.
Berlin ; New York : Springer-Verlag, ©2004
(DLC) 2006299567
(OCoLC)54973817
資料類型: 會議刊物, 文獻, 網際網路資源
文件類型: 網路資源, 電腦資料
所有的作者/貢獻者: Boris Tsirelson; Wendelin Werner
ISBN: 9783540399827 3540399828
OCLC系統控制編碼: 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.
叢書名: Lecture notes in mathematics (Springer-Verlag), 1840.
責任: Boris Tsirelson, Wendelin Werner ; editor, Jean Picard.
更多資訊:

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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