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arXiv · 1608.04578

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

Alberto Chiarini·Alessandra Cipriani
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Abstract

In this note we derive an exact formula for the Green's 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 Green's function of the simple random walk on $\mathbb{Z}^d$, $d\ge 3$.

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Alberto Chiarini, Alessandra Cipriani. 2016-08-16. A note on the Green's function for the transient random walk without killing on the half lattice, orthant and strip. https://arxiv.org/abs/1608.04578

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