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...
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| Veröffentlicht in: | Ecole d'Eté de Probabilités de Saint-Flour (Online), 32 |
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| Hauptverfasser: | , |
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| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Schriftenreihe: | Lecture notes in mathematics
1840 |
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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 |
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| 100 | 1 | |a Tsirelson, Boris, |d 1950-2020, |c mathématicien. | |
| 245 | 1 | 0 | |a Lectures on probability theory and statistics : |b Ecole d'été de probabilités de Saint-Flour XXXII - 2002 |c Boris Tsirelson, Wendelin Werner ; editor Jean Picard. |
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| 500 | |a N˚de : École d'Été de probabilités de Saint-Flour, ISSN 2512-3564, XXXII, 2002 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Probabilités | ||
| 650 | |a Statistique mathématique | ||
| 650 | |a Mathématiques | ||
| 650 | |a Actes de congrès | ||
| 700 | 1 | |a Werner, Wendelin, |d 1968-...., |c mathématicien. |4 aut | |
| 700 | 1 | |a Picard, Jean, |d 1959-...., |c mathématicien. |4 pbd | |
| 711 | 2 | |a Ecole d'été de probabilités de Saint-Flour |n (32 |d :2002 |c :Saint-Flour, Cantal). |4 aut | |
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| 774 | 0 | |t Scaling limit, noise, stability |f Boris Tsirelson | |
| 774 | 0 | |t Random planar curves and Schramm-Loewner evolutions |f Wendelin Werner | |
| 776 | 0 | |0 08112502X |t Lectures on probability theory and statistics |o École d'été de probabilités de Saint-Flour XXXII - 2002 |f Boris Tsirelson, Wendelin Werner |d 2004 |c Berlin |n Springer |p 1 volume (200 pages) |s Lecture notes in mathematics |z 3-540-21316-3 | |
| 776 | 0 | |t Lectures on Probability Theory and Statistics |b Texte imprimé |z 9783662163535 | |
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