Correlated Drainage Model
Probability
2010-03-23 v2
Abstract
In this article we present an example of a random oriented tree model on d-dimensional lattice, that is a forest in d=3 with positive probability. This is in contrast with the other random tree models in the literature which are a forest only when d strictly greater than 3.
Keywords
Cite
@article{arxiv.0902.0762,
title = {Correlated Drainage Model},
author = {Siva Athreya and Sreekar Vadlamani},
journal= {arXiv preprint arXiv:0902.0762},
year = {2010}
}
Comments
This paper has been withdrawn by the authors due to a crucial error in the main theorem.