Lectures on Probability Theory and Statistics: Ecole D'ete De Probabilites De Saint-flour Xxxii - 2002 - Lecture Notes in Mathematics - Boris Tsirelson - Books - Springer-Verlag Berlin and Heidelberg Gm - 9783540213161 - April 21, 2004
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Boris Tsirelson
Lectures on Probability Theory and Statistics: Ecole D'ete De Probabilites De Saint-flour Xxxii - 2002 - Lecture Notes in Mathematics 2004 edition

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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). 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.

208 pages, biography

Media Books     Paperback Book   (Book with soft cover and glued back)
Released April 21, 2004
ISBN13 9783540213161
Publishers Springer-Verlag Berlin and Heidelberg Gm
Pages 208
Dimensions 155 × 233 × 11 mm   ·   303 g
Language English   German  
Contributor Jean Picard

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