书目名称 | Lectures on Probability Theory and Statistics |
副标题 | Ecole d‘Eté de Proba |
编辑 | Boris Tsirelson,Wendelin Werner,Jean Picard |
视频video | |
概述 | Includes supplementary material: |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | .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). 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. 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.. |
出版日期 | Book 2004 |
关键词 | Probability theory; Random variable; Schramm-Loewner evolutions; Variance; classical and nonclassical no |
版次 | 1 |
doi | https://doi.org/10.1007/b96719 |
isbn_softcover | 978-3-540-21316-1 |
isbn_ebook | 978-3-540-39982-7Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag GmbH Germany, part of Springer Nature 2004 |