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- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1840)
Part of the book sub series: École d'Été de Probabilités de Saint-Flour (LNMECOLE)
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Table of contents (2 chapters)
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Front Matter
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Back Matter
About this book
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.
Bibliographic Information
Book Title: Lectures on Probability Theory and Statistics
Book Subtitle: Ecole d'Eté de Probabilités de Saint-Flour XXXII - 2002
Authors: Boris Tsirelson, Wendelin Werner
Editors: Jean Picard
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/b96719
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag GmbH Germany, part of Springer Nature 2004
Softcover ISBN: 978-3-540-21316-1Published: 21 April 2004
eBook ISBN: 978-3-540-39982-7Published: 10 March 2004
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VIII, 200
Topics: Probability Theory and Stochastic Processes, Complex Systems, Statistical Physics and Dynamical Systems