Format:
Online-Ressource (XIII, 228 p, digital)
ISBN:
9783540355182
Series Statement:
Lecture Notes in Mathematics 1879
Content:
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.
Note:
Lizenzpflichtig
Additional Edition:
ISBN 9783540311898
Additional Edition:
Buchausg. u.d.T. Slade, Gordon, 1955 - The lace expansion and its applications Berlin : Springer, 2006 ISBN 3540311890
Additional Edition:
ISBN 9783540311898
Language:
English
Subjects:
Mathematics
Keywords:
Irrfahrtsproblem
;
Perkolationstheorie
;
Asymptotische Entwicklung
;
Konferenzschrift
Author information:
Slade, Gordon 1955-
