most citedThe dimension of the range of a transient random walk

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math.PR2014★ 1 cited

The dimension of the range of a transient random walk

Nicos Georgiou, Davar Khoshnevisan, Kunwoo Kim +1

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 (199…

math.PR2010

Soft edge results for longest increasing paths on the planar lattice

Nicos Georgiou

For two-dimensional last-passage time models of weakly increasing paths, interesting scaling limits have been proved for points close the axis (the hard edge). For strictly increas…