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In this note we derive an exact formula for the Green's function of therandom walk on different subspaces of the discrete lattice (orthants, includingthe half space, and the strip) without killing on the boundary in terms of theGreen's function of the simple random walk on $\mathbb{Z}^d$, $d\ge 3$.

A note on the Green's function for the transient random walk without killing on the half lattice, orthant and strip