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arxiv: 1410.8582 · v1 · pith:B6I3TS4Gnew · submitted 2014-10-30 · 🧮 math.PR

The dimension of the range of a transient random walk

Nicos Georgiou , Davar Khoshnevisan , Kunwoo Kim , Alex D. Ramos This is my paper
classification 🧮 math.PR
keywords rangetransientwalkarbitrarybarlowdimensiondimensionsendeavor
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We find formulas for the macroscopic Minkowski and Hausdorff dimensions of the range of an arbitrary transient walk in Z^d. This endeavor solves a problem of Barlow and Taylor (1991).

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