most citedCondensation for a fixed number of independent random variables

34 citations · 34 across the 1 of their papers we have counts for

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math.PR2006★ 34 cited

Condensation for a fixed number of independent random variables

Pablo A. Ferrari, Claudio Landim, Valentin V. Sisko

A family of m independent identically distributed random variables indexed by a chemical potential ϕ\in[0,γ] represents piles of particles. As ϕincreases to γ, the mean number of p…

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…