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Random Walks and Effective Resistances on Toroidal and Cylindrical Grids

Monwhea Jeng
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Abstract

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.

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Monwhea Jeng. 2004-05-25. Random Walks and Effective Resistances on Toroidal and Cylindrical Grids. https://doi.org/10.1119/1.19370

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