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High-Dimensional Graphical Networks of Self-Avoiding Walks
| Title: | High-Dimensional Graphical Networks of Self-Avoiding Walks |
| Authors: | Holmes, Mark Browse this author | | Járai, Antal A. Browse this author | | Sakai, Akira Browse this author →KAKEN DB | | Slade, Gordon Browse this author |
| Issue Date: | 1-Feb-2004 |
| Publisher: | Canadian Mathematical Society |
| Journal Title: | Canadian Journal of Mathematics |
| Volume: | 56 |
| Issue: | 1 |
| Start Page: | 77 |
| End Page: | 114 |
| Publisher DOI: | 10.4153/CJM-2004-005-1 |
| 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 Z(d) in dimensions d > 4. |
| Rights: | Archived with the permission of the Canadian Mathematical Society, this article was originally published in the Canadian Journal of Mathematics by Mark Holmes, Akira Sakai, Antal A. Jarai and Gordon Slade, High-Dimensional Graphical Networks of Self-Avoiding Walks, Vol.56 no.1 (2004), pg 77-114, DOI:10.4153/CJM-2004-005-1. |
| Type: | article |
| URI: | http://hdl.handle.net/2115/58575 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 坂井 哲
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