关于半格、正交格和带上无杀瞬变随机游动格林函数的注记
A note on the Green's function for the transient random walk without killing on the half lattice, orthant and strip
摘要:
本文利用$\mathbb{Z}^d$,$d\ge 3$上的简单随机游动的格林函数,导出了离散格点上不同子空间(正交子,包括半空间和带)上无边界杀戮的随机游动的格林函数的精确公式.
英文摘要:
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 $\mathbb{Z}^d$, $d\ge 3$.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。