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arXiv · 2206.12999

The mean square displacement of random walk on the Manhattan lattice

Nicholas R. Beaton·Mark Holmes
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Abstract

We give an explicit formula for the mean square displacement of the random walk on the $d$-dimensional Manhattan lattice after $n$ steps, for all $n$ and all dimensions $d \geq 2$.

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Nicholas R. Beaton, Mark Holmes. 2022-06-27. The mean square displacement of random walk on the Manhattan lattice. https://doi.org/10.1016/j.spl.2022.109706

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