Positive recurrence of processes associated to crystal growth models
Probability
2007-05-23 v1
Abstract
We show that certain Markov jump processes associated to crystal growth models are positive recurrent when the parameters satisfy a rather natural condition.
Cite
@article{arxiv.math/0610172,
title = {Positive recurrence of processes associated to crystal growth models},
author = {E. D. Andjel and M. V. Menshikov and V. V. Sisko},
journal= {arXiv preprint arXiv:math/0610172},
year = {2007}
}
Comments
Published at http://dx.doi.org/10.1214/105051606000000079 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)