Zero range process with rapidly growing rates

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Date(s) - 27/01/2017
11 h 00 min - 12 h 00 min

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The zero range process describes the evolution of particles on acountable set of sites S. Multiple occupation of a given site is allowed and if a site contains n particles, then a particle will leave that site at rate g(n). When a particle jumps from a site x it chooses a site y with probability p(x, y) where p( , ) is a transition matrix on S. The standard construction of this process requires the rate function g to grow at most linearly. We provide a construction for rapidly
growing rates when S = Z and p( , ) is the transition matrix of a nearest neighbor random walk. This generalizes a result due to Balasz, Rassoul-Agha, Seppalainen and Sethuraman.

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