Open Access
August 2006 Positive recurrence of processes associated to crystal growth models
E. D. Andjel, M. V. Menshikov, V. V. Sisko
Ann. Appl. Probab. 16(3): 1059-1085 (August 2006). 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.

Citation

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E. D. Andjel. M. V. Menshikov. V. V. Sisko. "Positive recurrence of processes associated to crystal growth models." Ann. Appl. Probab. 16 (3) 1059 - 1085, August 2006. https://doi.org/10.1214/105051606000000079

Information

Published: August 2006
First available in Project Euclid: 2 October 2006

zbMATH: 1107.60071
MathSciNet: MR2260057
Digital Object Identifier: 10.1214/105051606000000079

Subjects:
Primary: 60J20
Secondary: 60G55 , 60J10 , 60K25 , 80A30

Keywords: exponentially decaying tails , invariant measure , Markov chain , Positive recurrent

Rights: Copyright © 2006 Institute of Mathematical Statistics

Vol.16 • No. 3 • August 2006
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