The Effect of Finite Memory Cutoff on Loop Erased Walk in Z^3
| dc.creator | Yang, Wei-Shih | |
| dc.creator | Zeleke, Aklilu | |
| dc.date | 2004-11-24 | |
| dc.date.accessioned | 2026-07-07T05:14:40Z | |
| dc.date.available | 2026-07-07T05:14:40Z | |
| dc.description | Let ζbe the intersection exponent of random walks in Z^3 and αbe a positive real number. We construct a stochastic process from a simple random walk by erasing loops of length at most N^α. We will prove that for α< \frac{1}{1+2ζ}, the limiting distribution is Gaussian. For α> 2 the limiting distribution will be shown to be equal to the limiting distribution of the loop erased walk. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0411551 | |
| dc.identifier | http://arxiv.org/abs/math/0411551 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73363 | |
| dc.subject | Probability | |
| dc.subject | 60G50 | |
| dc.title | The Effect of Finite Memory Cutoff on Loop Erased Walk in Z^3 | |
| dc.type | text |