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Surprising variants of Cauchy's formula for mean chord length

cond-mat.stat-mech · 2019-08-19 · conditional · novelty 5.0

For symmetric random walks on N-by-N hypercubic lattices starting and ending on the boundary, the mean number of steps is N and the length distribution has an approximate n^-3/2 tail.

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  • Surprising variants of Cauchy's formula for mean chord length cond-mat.stat-mech · 2019-08-19 · conditional · none · ref 6

    For symmetric random walks on N-by-N hypercubic lattices starting and ending on the boundary, the mean number of steps is N and the length distribution has an approximate n^-3/2 tail.