The Lace Expansion and its Applications Ecole d'Eté de Probabilités de Saint-Flour XXXIV - 2004 /

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, p...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Slade, Gordon (Autor)
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Picard, Jean (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:École d'Été de Probabilités de Saint-Flour ; 1879
Temas:
Probabilities.
Mathematical physics.
Discrete mathematics.
Probability Theory.
Theoretical, Mathematical and Computational Physics.
Discrete Mathematics.
Acceso en línea:Texto Completo

MARC

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245 1 4 |a The Lace Expansion and its Applications  |h [electronic resource] :  |b Ecole d'Eté de Probabilités de Saint-Flour XXXIV - 2004 /  |c by Gordon Slade ; edited by Jean Picard. 
250 |a 1st ed. 2006. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2006. 
300 |a XIII, 233 p.  |b online resource. 
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490 1 |a École d'Été de Probabilités de Saint-Flour ;  |v 1879 
505 0 |a 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. 
520 |a 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. 
650 0 |a Probabilities. 
650 0 |a Mathematical physics. 
650 0 |a Discrete mathematics. 
650 1 4 |a Probability Theory. 
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650 2 4 |a Discrete Mathematics. 
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