How fast does a random walk cover a torus?
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DOI: 10.1103/physreve.96.012115
Abstract: We present high statistics simulation data for the average time 〈T_{cover}(L)〉 that a random walk needs to cover completely a two-dimensional torus of size L×L. They confirm the mathematical prediction that 〈T_{cover}(L)〉∼(LlnL)^{2} for large L,… read more here.
Keywords: fast random; walk cover; torus; cover ... See more keywords