| 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 | http://file.papertrans.cn/584/583575/583575.mp4 |
| 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 |