bokomslag Lectures on Probability Theory and Statistics
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Lectures on Probability Theory and Statistics

Boris Tsirelson Wendelin Werner Jean Picard

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  • 200 sidor
  • 2004
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.
  • Författare: Boris Tsirelson, Wendelin Werner, Jean Picard
  • Format: Pocket/Paperback
  • ISBN: 9783540213161
  • Språk: Engelska
  • Antal sidor: 200
  • Utgivningsdatum: 2004-04-01
  • Förlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K