The dimension of the range of a transient random walk

2014/10/30 by Georgiou, Nicos, Khoshnevisan, Davar, Kim, Kunwoo +1
#60J80 #FOS: Mathematics #Primary 60G50 #Probability (math.PR) #Secondary 60J45

paper · doi:10.48550/arxiv.1410.8582

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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• Boundary of the Range of Transient Random Walk
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