2 papers
math.PR2006★ 9 cited
Positive recurrence of processes associated to crystal growth models
E. D. Andjel, M. V. Menshikov, V. V. Sisko
We show that certain Markov jump processes associated to crystal growth models are positive recurrent when the parameters satisfy a rather natural condition.
math.PR2006★ 11 cited
Escape of mass in zero-range processes with random rates
Pablo A. Ferrari, Valentin V. Sisko
We consider zero-range processes in with site dependent jump rates. The rate for a particle jump from site to in is given by $λ_xg(k)p(y-x…