环形和圆柱形网格上的随机游动和有效电阻
Random Walks and Effective Resistances on Toroidal and Cylindrical Grids
摘要：
描述了随机游走问题与电阻网络问题之间的映射，并利用该映射计算了二维无限正方形单位电阻格上任意两个节点之间的有效电阻。然后，叠加原理被用来找到有效电阻的环形和圆柱形正方形晶格。
英文摘要：
A mapping between random walk problems and resistor network problems is described and used to calculate the effective resistance between any two nodes on an infinite two-dimensional square lattice of unit resistors. The superposition principle is then used to find effective resistances on toroidal and cylindrical square lattices.
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。
