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The lace expansion on a tree with application to networks of self-avoiding walks
| Content Provider | Semantic Scholar |
|---|---|
| Author | Hofstad, Remco Van Der Slade, Gordon |
| Copyright Year | 2002 |
| Abstract | The lace expansion has been used successfully to study the critical behaviour in high dimensions of self-avoiding walks, lattice trees and lattice animals, and percolation. In each case, the lace expansion has been an expansion along a time interval. In this paper, we introduce the lace expansion on a tree, in which ‘time’ is generalised from an interval to a tree. We develop the expansion in the context of networks of mutually-avoiding self-avoiding walks joined together with the topology of a tree, in dimensions d > 4, and prove Gaussian behaviour for sufficiently spread-out networks consisting of long self-avoiding walks. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.math.ubc.ca/people/faculty/slade/networks.pdf |
| Alternate Webpage(s) | https://www.win.tue.nl/~rhofstad/networks.pdf |
| Alternate Webpage(s) | http://www.math.ubc.ca/~slade/networks.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Anatomy, Regional Dimensions Laces Normal Statistical Distribution Percolation Self-avoiding walk Trees (plant) |
| Content Type | Text |
| Resource Type | Article |
