Research

High-dimensional graphical networks of self-avoiding walks


Reference:

Holmes, M., Jarai, A. A., Sakai, A. and Slade, G., 2004. High-dimensional graphical networks of self-avoiding walks. Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 56, pp. 77-114.

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Official URL:

http://math.ca/10.4153/CJM-2004-005-1

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Abstract

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 Zd in dimensions d>4.

Details

Item Type Articles
CreatorsHolmes, M., Jarai, A. A., Sakai, A. and Slade, G.
Related URLs
URLURL Type
http://math.ca/10.4153/CJM-2004-005-1Free Full-text
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code7232

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