Positive recurrence of processes associated to crystal growth models
Andjel, E. D. ; Menshikov, M. V. ; Sisko, V. V.
Ann. Appl. Probab., Tome 16 (2006) no. 1, p. 1059-1085 / Harvested from Project Euclid
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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.
Publié le : 2006-08-14
Classification:  Positive recurrent,  Markov chain,  invariant measure,  exponentially decaying tails,  60J20,  60G55,  60K25,  60J10,  80A30 
@article{1159804975,
     author = {Andjel, E. D. and Menshikov, M. V. and Sisko, V. V.},
     title = {Positive recurrence of processes associated to crystal growth models},
     journal = {Ann. Appl. Probab.},
     volume = {16},
     number = {1},
     year = {2006},
     pages = { 1059-1085},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1159804975}
}

Andjel, E. D.; Menshikov, M. V.; Sisko, V. V. Positive recurrence of processes associated to crystal growth models. Ann. Appl. Probab., Tome 16 (2006) no. 1, pp.  1059-1085. http://gdmltest.u-ga.fr/item/1159804975/