RT Web Page DB /z-wcorg/ DS http://worldcat.org ID 56338001 LA English UL http://www.springerlink.com/openurl.asp?genre=issue&issn=0075-8434&volume=1840 T1 Lectures on probability theory and statistics Ecole d'Eté de probabilités de Saint-Flour XXXII-2002 A1 Ecole d'été de probabilités de Saint-Flour, Tsirelson, Boris., Werner, Wendelin,, PB Springer-Verlag PP Berlin; New York YR 2004 SN 9783540399827 3540399828 AB 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). Boris 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. Two examples are examined (noise made by a Poisson snake, the Brownian web). A new framework for the scaling limit is proposed, as well as old and new results about noises, stability, and spectral measures. Wendelin 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.