Convergence in distribution for subcritical 2D oriented percolation seen from its rightmost point
Probability
2014-03-28 v1
Abstract
We study subcritical two-dimensional oriented percolation seen from its rightmost point on the set of infinite configurations which are bounded above. This a Feller process whose state space is not compact and has no invariant measures. We prove that it converges in distribution to a measure which charges only finite configurations.
Cite
@article{arxiv.1403.6990,
title = {Convergence in distribution for subcritical 2D oriented percolation seen from its rightmost point},
author = {E. D. Andjel},
journal= {arXiv preprint arXiv:1403.6990},
year = {2014}
}
Comments
Published in at http://dx.doi.org/10.1214/13-AOP841 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)