Continuous time `true' self-avoiding random walk on Z
Probability
2019-05-20 v2
Abstract
We consider the continuous time version of the `true' or `myopic' self-avoiding random walk with site repulsion in 1d. The Ray-Knight-type method which was applied to the discrete time and edge repulsion case, is applicable to this model with some modifications. We present a limit theorem for the local time of the walk and a local limit theorem for the displacement.
Cite
@article{arxiv.0909.3863,
title = {Continuous time `true' self-avoiding random walk on Z},
author = {Balint Toth and Balint Veto},
journal= {arXiv preprint arXiv:0909.3863},
year = {2019}
}
Comments
17 pages