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Size of the largest cluster under zero-range invariant measures

Size of the largest cluster under zero-range invariant measures

We study the .nite zero-range process with occupancy-dependent rate function $g(\cdot)$. Under the invariant measure, which can be written explicitly in terms of $g$, particles are distributed over sites and we regard all particles at a fixed site as a cluster. In the density one case, that is, equal numbers …