Journal article

Supercritical behavior of asymmetric zero-range process with sitewise disorder

We establish necessary and sufficient conditions for weak convergence to the upper invariant measure for onedimensional asymmetric nearest-neighbour zero-range processes with non-homogeneous jump rates. The class of "environments" considered is close to that considered by (Stochastic Process. Appl. 90 (2000) 67-81), while our class of processes is broader. We also give in arbitrary dimension a simpler proof of the result of (In Asymptotics: Particles, Processes and Inverse Problems (2007) 108-120 Inst. Math. Statist.) with weaker assumptions.


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