Correlated Drainage Model
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2009
- DOI:
- 10.48550/arXiv.0902.0762
- arXiv:
- arXiv:0902.0762
- Bibcode:
- 2009arXiv0902.0762A
- Keywords:
-
- Mathematics - Probability;
- 05C05;
- 05C80;
- 60G10;
- 60G52
- E-Print:
- This paper has been withdrawn by the authors due to a crucial error in the main theorem.