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Department of Mathematical Sciences

Academic Staff

Publication details for Mikhail Menshikov

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

Publication type: Journal Article
ISSN/ISBN: 1050-5164
DOI: 10.1214/105051606000000079
Keywords: Positive recurrent; Markov chain; invariant measure; exponentially decaying tails
Further publication details on publisher web site
Durham Research Online (DRO) - may include full text

Author(s) from Durham

Mikhail Menshikov

Abstract

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