Positive recurrence of processes associated to crystal growth models

Andjel, A.; Menshikov, M.V.; Sisko, V.

Abstract

We show that certain Markov jump processes associated to crystal growth models are positive recurrent when the parameters satisfy a rather natural condition.

Citation

Andjel, A., Menshikov, M., & Sisko, V. (2006). Positive recurrence of processes associated to crystal growth models. Annals of Applied Probability, 16(3), 1059-1085. https://doi.org/10.1214/105051606000000079

• Journal Article Type: Article
• Publication Date: Oct 2, 2006
• Deposit Date: May 1, 2007
• Publicly Available Date: May 17, 2010
• Journal: Annals of Applied Probability
• Print ISSN: 1050-5164
• Publisher: Institute of Mathematical Statistics
• Peer Reviewed: Peer Reviewed
• Volume: 16
• Issue: 3
• Pages: 1059-1085
• DOI: https://doi.org/10.1214/105051606000000079
• Keywords: Positive recurrent, Markov chain, Invariant measure, Exponentially decaying tails.