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.
Publié le : 1989-10-14
Classification:
Self-avoiding random walk,
consistent measures,
kinetically growing walks,
60J15,
82A51
@article{1176991159,
author = {Lawler, Gregory F.},
title = {The Infinite Self-Avoiding Walk in High Dimensions},
journal = {Ann. Probab.},
volume = {17},
number = {4},
year = {1989},
pages = { 1367-1376},
language = {en},
url = {http://dml.mathdoc.fr/item/1176991159}
}
Lawler, Gregory F. The Infinite Self-Avoiding Walk in High Dimensions. Ann. Probab., Tome 17 (1989) no. 4, pp. 1367-1376. http://gdmltest.u-ga.fr/item/1176991159/