The Infinite Self-Avoiding Walk in High Dimensions
Open Access
- 1 October 1989
- journal article
- Published by Institute of Mathematical Statistics in The Annals of Probability
- Vol. 17 (4) , 1367-1376
- https://doi.org/10.1214/aop/1176991159
Abstract
A measure on infinite self-avoiding walks is defined which is the natural limit of the uniform measure on finite self-avoiding walks. This limit is shown to exist in sufficiently large dimensions using the methods of Slade and Brydges and Spencer.Keywords
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