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math.PR2019
Discrete harmonic functions in Lipschitz domains
Sami Mustapha, Mohamed Sifi
We prove the existence and uniqueness of a discrete nonnegative harmonic function for a random walk satisfying finite range, centering and ellipticity conditions, killed when leavi…
math.PR2006★ 16 cited
Gaussian estimates for spatially inhomogeneous random walks on
Sami Mustapha
It is shown in this paper that the transition kernel corresponding to a spatially inhomogeneous random walk on admits upper and lower Gaussian estimates.