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Lectures on Probability Theory and Statistics: Ecole D'ete De Probabilites De Saint-flour Xxxii - 2002 - Lecture Notes in Mathematics Boris Tsirelson 2004 edition
Lectures on Probability Theory and Statistics: Ecole D'ete De Probabilites De Saint-flour Xxxii - 2002 - Lecture Notes in Mathematics
Boris Tsirelson
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.
208 pages, biography
| Medios de comunicación | Libros Paperback Book (Libro con tapa blanda y lomo encolado) |
| Publicado | 21 de abril de 2004 |
| ISBN13 | 9783540213161 |
| Editores | Springer-Verlag Berlin and Heidelberg Gm |
| Páginas | 208 |
| Dimensiones | 155 × 233 × 11 mm · 303 g |
| Lengua | Inglés Alemán |
| Colaborador | Jean Picard |