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math.PR2019
Phase transitions for degenerate random environments
Mark Holmes, Thomas S. Salisbury
We study a class of models of i.i.d.~random environments in general dimensions , where each site is equipped randomly with an environment, and a parameter governs the f…
math.PR2019
A shape theorem for the orthant model
Mark Holmes, Thomas S. Salisbury
We study a particular model of a random medium, called the orthant model, in general dimensions . Each site independently has arrows pointing to its positive ne…