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math.PR2018★ 4 cited
An elliptic Harnack inequality for random walk in balanced environments
Noam Berger, Moran Cohen, Jean-Dominique Deuschel +1
We prove a Harnack inequality for the solutions of a difference equation with non-elliptic balanced i.i.d. coefficients. Along the way we prove a (weak) quantitative homogenisation…
math.PR2014★ 14 cited
Local limit theorem and equivalence of dynamic and static points of view for certain ballistic random walks in i.i.d. environments
Noam Berger, Moran Cohen, Ron Rosenthal
In this work, we discuss certain ballistic random walks in random environments on , and prove the equivalence between the static and dynamic points of view in dimensi…