The lace expansion and its applications : Ecole d'Ete de Probabilites de Saint-Flour XXXIV-2004 / / Jean Picard, editor
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| Autore: |
Slade G (Gordon)
|
| Titolo: |
The lace expansion and its applications : Ecole d'Ete de Probabilites de Saint-Flour XXXIV-2004 / / Jean Picard, editor
|
| Pubblicazione: | Berlin ; ; Heidelberg : , : Springer, , [2006] |
| ©2006 | |
| Edizione: | 1st ed. 2006. |
| Descrizione fisica: | 1 online resource (232 p.) |
| Disciplina: | 530.13 |
| Soggetto topico: | Percolation (Statistical physics) |
| Probabilities | |
| Persona (resp. second.): | PicardJean <1959-> |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | Simple Random Walk -- The Self-Avoiding Walk -- The Lace Expansion for the Self-Avoiding Walk -- Diagrammatic Estimates for the Self-Avoiding Walk -- Convergence for the Self-Avoiding Walk -- Further Results for the Self-Avoiding Walk -- Lattice Trees -- The Lace Expansion for Lattice Trees -- Percolation -- The Expansion for Percolation -- Results for Percolation -- Oriented Percolation -- Expansions for Oriented Percolation -- The Contact Process -- Branching Random Walk -- Integrated Super-Brownian Excursion -- Super-Brownian Motion. |
| Sommario/riassunto: | The lace expansion is a powerful and flexible method for understanding the critical scaling of several models of interest in probability, statistical mechanics, and combinatorics, above their upper critical dimensions. These models include the self-avoiding walk, lattice trees and lattice animals, percolation, oriented percolation, and the contact process. This volume provides a unified and extensive overview of the lace expansion and its applications to these models. Results include proofs of existence of critical exponents and construction of scaling limits. Often, the scaling limit is described in terms of super-Brownian motion. |
| Titolo autorizzato: | The lace expansion and its applications |
| ISBN: | 1-280-61500-1 |
| 9786610615001 | |
| 3-540-35518-9 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 996466644103316 |
| Lo trovi qui: | Univ. di Salerno |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture notes in mathematics (Springer-Verlag) ; ; 1879.