A self-avoiding walk with attractive interactions

2002/02/24 by Daniel Ueltschi
Mathematics · Physics and Astronomy · #math.PR #math-ph #math.MP #msc:60K35 #msc:60G50 #msc:82B41

paper · pdf

published as Probab. Th. Rel. Fields 124, 189-203 (2002) · 13 pages, 4 figures

arxiv created 2002/02/24 · arxiv updated 2009/11/30

Abstract

A self-avoiding walk with small attractive interactions is described here. The existence of the connective constant is established, and the diffusive behavior is proved using the method of the lace expansion.

Related

• Self-attracting self-avoiding walk
• Lectures on Self-Avoiding Walks
• The strong interaction limit of continuous-time weakly self-avoiding walk
• Extendable self-avoiding walks
• Upper bounds for the connective constant of weighted self-avoiding walks