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arXiv · 1410.8582

The dimension of the range of a transient random walk

Nicos Georgiou·Davar Khoshnevisan·Kunwoo Kim·Alex D. Ramos
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Abstract

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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Nicos Georgiou, Davar Khoshnevisan, Kunwoo Kim, Alex D. Ramos. 2014-10-30. The dimension of the range of a transient random walk. https://arxiv.org/abs/1410.8582

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