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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: Berlin ; New York : Springer-Verlag, ©2004.
シリーズ: Lecture notes in mathematics (Springer-Verlag), 1840.
エディション/フォーマット:   電子書籍 : Document : Conference publication : English : 1. Auflすべてのエディションとフォーマットを見る
データベース:WorldCat
概要:
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  続きを読む
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詳細

ジャンル/形式: Electronic books
Conference proceedings
Congresses
その他のフォーマット: Print version:
Tsirelson, Boris.
Lectures on probability theory and statistics.
Berlin ; New York : Springer-Verlag, ©2004
(DLC) 2006299567
(OCoLC)54973817
資料の種類: Conference publication, Document, インターネット資料
ドキュメントの種類: インターネットリソース, コンピューターファイル
すべての著者/寄与者: Boris Tsirelson; Wendelin Werner
ISBN: 9783540399827 3540399828
OCLC No.: 56338001
物理形態: 1 online resource (vii, 200 pages) : illustrations.
コンテンツ: pt. l. Scaling limit, noise, stability / Boris Tsirelson --
pt. 2. Random planar curves and Schramm-Loewner evolutions / Wendelin Werner.
シリーズタイトル: Lecture notes in mathematics (Springer-Verlag), 1840.
責任者: Boris Tsirelson, Wendelin Werner ; editor, Jean Picard.
その他の情報:

概要:

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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