Geodesic
High-Dimensional Graphical Networks of Self-Avoiding Walks
Canadian journal of mathematics, Tome 56 (2004) no. 1, pp. 77-114

Voir la notice de l'article provenant de la source Cambridge University Press

We use the lace expansion to analyse networks of mutually-avoiding self-avoiding walks, having the topology of a graph. The networks are defined in terms of spread-out self-avoiding walks that are permitted to take large steps. We study the asymptotic behaviour of networks in the limit of widely separated network branch points, and prove Gaussian behaviour for sufficiently spread-out networks on ${{\mathbb{Z}}^{d}}$ in dimensions $d\,>\,4$ .
DOI : 10.4153/CJM-2004-005-1
Mots-clés : 82B41, 60K35 
Holmes, Mark; Járai, Antal A.; Sakai, Akira; Slade, Gordon. High-Dimensional Graphical Networks of Self-Avoiding Walks. Canadian journal of mathematics, Tome 56 (2004) no. 1, pp. 77-114. doi: 10.4153/CJM-2004-005-1
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