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

• Κύριος συγγραφέας: Slade, Gordon (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Picard, Jean (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Σειρά: Lecture Notes in Mathematics, 1879
• Θέματα: Mathematics.; Probabilities.; Combinatorics.; Physics.; Probability Theory and Stochastic Processes.; Theoretical, Mathematical and Computational Physics.

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...

Πίνακας περιεχομένων:

• 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.