Abstract
We find formulas for the macroscopic Minkowski and Hausdorff dimensions of the range of an arbitrary transient walk in $\mathbb{Z} ^d$. This endeavor solves a problem of Barlow and Taylor (1991).
Citation
Nicos Georgiou. Davar Khoshnevisan. Kunwoo Kim. Alex D. Ramos. "The dimension of the range of a transient random walk." Electron. J. Probab. 23 1 - 31, 2018. https://doi.org/10.1214/18-EJP201
Information