The Infinite Self-Avoiding Walk in High Dimensions

Gregory F. Lawler

doi:10.1214/aop/1176991159

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Home > Journals > Ann. Probab. > Volume 17 > Issue 4 > Article

October, 1989 The Infinite Self-Avoiding Walk in High Dimensions

Gregory F. Lawler

Ann. Probab. 17(4): 1367-1376 (October, 1989). DOI: 10.1214/aop/1176991159

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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.

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Gregory F. Lawler. "The Infinite Self-Avoiding Walk in High Dimensions." Ann. Probab. 17 (4) 1367 - 1376, October, 1989. https://doi.org/10.1214/aop/1176991159