Lectures on probability theory and statistics : Ecole d'été de probabilités de Saint-Flour XXXII - 2002
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...
Guardat en:
| Publicat a: | Ecole d'Eté de Probabilités de Saint-Flour (Online), 32 |
|---|---|
| Autors principals: | , |
| Autor corporatiu: | |
| Altres autors: | |
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Col·lecció: | Lecture notes in mathematics
1840 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
N˚de : École d'Été de probabilités de Saint-Flour, ISSN 2512-3564, XXXII, 2002 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Consulter le titre dans une bibliothèque: | Cliquer ici |
| Contient: | • Scaling limit, noise, stability, Boris Tsirelson • Random planar curves and Schramm-Loewner evolutions, Wendelin Werner |
| Edition sous un autre format: | • Lectures on probability theory and statistics, École d'été de probabilités de Saint-Flour XXXII - 2002, Boris Tsirelson, Wendelin Werner, 2004, Berlin, Springer, 1 volume (200 pages), Lecture notes in mathematics, 3-540-21316-3 • Lectures on Probability Theory and Statistics, Texte imprimé, 9783662163535 |
| Sumari: | 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. |
|---|---|
| Descripció de l’ítem: | N˚de : École d'Été de probabilités de Saint-Flour, ISSN 2512-3564, XXXII, 2002 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9783540399827 (PDF) |
| ISSN: | 1617-9692 2512-3564 |
| Accés: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |