This is yet another indispensable volume for all probabilists and collectors of the SaintFlour 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 SaintFlour (July 724, 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 twodimensional random curves. It provides a definition and properties of the SchrammLoewner evolutions, computations (probabilities, critical exponents), the relation with critical exponents of planar Brownian motions, planar selfavoiding walks, critical percolation, looperased random walks and uniform spanning trees.

Authors: Tsirelson B., Werner W.  Pages: 206 Year: 2004 
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