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A note on the Greens function for the transient random walk without killing on the half lattice, orthant and strip
2016, Chiarini, Alberto, Cipriani, Alessandra
In this note we derive an exact formula for the Greens function of the random walk on different subspaces of the discrete lattice (orthants, including the half space, and the strip) without killing on the boundary in terms of the Greens function of the simple random walk on Zd, d ≥ 3.