Convergence in distribution for subcritical 2D oriented percolation seen from its rightmost point
arXiv:1403.6990 · doi:10.1214/13-AOP841
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.
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)