Lectures on Probability Theory and Statistics Ecole d'Eté de Probabilités de Saint-Flour XXXII - 2002 /

• Main Authors: Tsirelson, Boris (Author, http://id.loc.gov/vocabulary/relators/aut), Werner, Wendelin (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Picard, Jean (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
• Edition: 1st ed. 2004.
• Series: Lecture Notes in Mathematics, 1840
• Subjects: Probabilities.; Statistical physics.; Dynamical systems.; Probability Theory and Stochastic Processes.; Complex Systems.; Statistical Physics and Dynamical Systems.

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 Tsirelso...

Table of Contents:

• Preface
• Part I: Boris Tsirelson: Scaling Limit, Noise, Stability
• Introduction
• A First Look
• Abstract Nonsense of the Scaling Limit
• Scaling Limit and Independence
• Example: The Noise Made by a Poison Snake
• Stability
• Generalizing Wiener Chaos
• Example: The Brownian Web as a Black Noise
• Miscellany
• References
• Index
• Part II: Wendelin Werner: Random Planar Curves and Schramm-Loewner Evolutions
• Introduction
• Loewner Chains
• Chordal SLE
• Chordal SLE and Restriction
• SLE and the Brownian Frontier
• Radial SLE
• Some Critical Exponents for SLE
• Brownian Exponents
• SLE, UST and LERW
• SLE and Critical Percolation
• What is Missing
• References.