Positive recurrence of processes associated to crystal growth models

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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)

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Probability, 60J20 (Primary) 60G55, 60K25, 60J10, 80A30 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/117841

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610172
 http://arxiv.org/abs/math/0610172
 Annals of Applied Probability 2006, Vol. 16, No. 3, 1059-1085
 doi:10.1214/105051606000000079

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arXiv