Random walks on weighted, oriented percolation clusters
Probability
2017-07-03 v3
Abstract
We consider a weighted random walk on the backbone of an oriented percolation cluster. We determine necessary conditions on the weights for Brownian scaling limits under the annealed and the quenched law. This model is a random walk in dynamic random environment (RWDRE), where the environment is mixing, non-Markovian and not elliptic. We provide a generalization of results obtained previously by Birkner et al. (2013).
Cite
@article{arxiv.1506.01879,
title = {Random walks on weighted, oriented percolation clusters},
author = {Katja Miller},
journal= {arXiv preprint arXiv:1506.01879},
year = {2017}
}
Comments
26 pages, 2 figures