Lectures on Probability Theory and Statistics : Ecole d'Eté de Probabilités de Saint-Flour XXXII - 2002
Overview
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.
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Details
- ISBN-13: 9783540213161
- ISBN-10: 3540213163
- Publisher: Springer
- Publish Date: April 2004
- Dimensions: 9.21 x 6.14 x 0.45 inches
- Shipping Weight: 0.67 pounds
- Page Count: 200
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