Lectures on Probability Theory and Statistics: Ecole d'Et¿¿ de Probabilit¿¿s de Saint-Flour XXXII - 2002: Ecole d’Eté de Probabilités de Saint-Flour XXXII - 2002: 1840 (Lecture Notes in Mathematics) - Tapa blanda

Tsirelson, Boris; Werner, Wendelin; Picard, Jean

 
9783540213161: Lectures on Probability Theory and Statistics: Ecole d'Et¿¿ de Probabilit¿¿s de Saint-Flour XXXII - 2002: Ecole d’Eté de Probabilités de Saint-Flour XXXII - 2002: 1840 (Lecture Notes in Mathematics)
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ISBN 10: 3540213163 ISBN 13: 9783540213161
Editorial: Springer, 2008

Sinopsis

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.

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De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2008
Idioma
Inglés
ISBN 10 
3540213163
ISBN 13 
9783540213161
Encuadernación
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Número de páginas
208
Contacto del fabricante
no disponible
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Otras ediciones populares con el mismo título

9783662163535: Lectures on Probability Theory and Statistics: Ecole d'Eté de Probabilités de Saint-Flour XXXII - 2002

Edición Destacada

ISBN 10:  3662163535 ISBN 13:  9783662163535
Editorial: Springer, 2014
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