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math.PR2003
On the Dirichlet problem for asymmetric zero-range process on increasing domains
Amine Asselah
We characterize the principal eigenvalue of the generator of the asymmetric zero-range process in dimensions d>2, with Dirichlet boundary on special domains. We obtain a Donsker-Va…
math.PR2003★ 1 cited
Hitting times for special patterns in the symmetric exclusion process on Z^d
Amine Asselah, Paolo Dai Pra
We consider the symmetric exclusion process {η_t,t>0} on {0,1}^{Z^d}. We fix a pattern A:={η:\sum_Λη(i)\ge k}, where Λis a finite subset of Z^d and k is an integer, and we consider…