engleski

Harnack Inequality for Subordinate Random Walks

In this paper, we consider a large class of subordinate random walks X on the integer lattice Z^d via subordinators with Laplace exponents which are complete Bernstein functions satisfying some mild scaling conditions at zero. We establish estimates for one-step transition probabilities, the Green function and the Green function of a ball, and prove the Harnack inequality for nonnegative harmonic functions.

Random walk, Subordination, Harnack inequality, Harmonic function, Green function, Poisson kernel

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