The Lace Expansion And Its Applications: Ecole D'et De Probabilits De Saint-flour Xxxiv - 2004
by Gordon Slade /
2006 / English / PDF
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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.
