Positive recurrence of processes associated to crystal growth models
arXiv:math/0610172 · doi:10.1214/105051606000000079
Abstract
We show that certain Markov jump processes associated to crystal growth models are positive recurrent when the parameters satisfy a rather natural condition.
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)