Random Walk on Lattice with an Antisymmetric Perturbation in One Point (1208.5239v3)

Published 26 Aug 2012 in math.PR, math-ph, and math.MP

Abstract: We study an homogeneous irreducible markovian random walk in a square lattice of arbitrary dimension, with an antisymmetric perturbation acting only in one point. We compute exactly spatial correction to the diffusive behaviour in the asympotics of probability, in the spirit of local limit theorems for random walks.

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