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

저자: Boris Tsirelson; Wendelin Werner
출판사: Berlin ; New York : Springer-Verlag, ©2004.
시리즈: Lecture notes in mathematics (Springer-Verlag), 1840.
판/형식:   전자도서 : 문서 : 컨퍼런스 간행물 : 영어 : 1. Aufl모든 판과 형식 보기
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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  더 읽기…
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장르/형태: Electronic books
Conference proceedings
Congresses
추가적인 물리적 형식: Print version:
Tsirelson, Boris.
Lectures on probability theory and statistics.
Berlin ; New York : Springer-Verlag, ©2004
(DLC) 2006299567
(OCoLC)54973817
자료 유형: 컨퍼런스 간행물, 문서, 인터넷 자료
문서 형식: 인터넷 자원, 컴퓨터 파일
모든 저자 / 참여자: Boris Tsirelson; Wendelin Werner
ISBN: 9783540399827 3540399828
OCLC 번호: 56338001
설명: 1 online resource (vii, 200 pages) : illustrations.
내용: pt. l. Scaling limit, noise, stability / Boris Tsirelson --
pt. 2. Random planar curves and Schramm-Loewner evolutions / Wendelin Werner.
일련 제목: Lecture notes in mathematics (Springer-Verlag), 1840.
책임: Boris Tsirelson, Wendelin Werner ; editor, Jean Picard.
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초록:

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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