Georgiou, Nicos, Khoshnevisan, Davar, Kim, Kunwoo and Ramos, Alex (2018) The dimension of the range of a transient random walk. Electronic Journal of Probability, 23 (83). pp. 1-31. ISSN 1083-6489

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Abstract

We find formulas for the macroscopic Minkowski and Hausdorff dimensions of the range of an arbitrary transient walk in the integer lattice. This endeavor solves a problem of Barlow and Taylor (1991).

Item Type:	Article
Keywords:	Transient random walks; Hausdorff dimension; recurrent sets; fractal percolation; capacity.
Schools and Departments:	School of Mathematical and Physical Sciences > Mathematics
Research Centres and Groups:	Probability and Statistics Research Group
Subjects:	Q Science > QA Mathematics > QA0273 Probabilities. Mathematical statistics > QA0274 Stochastic processes Q Science > QA Mathematics > QA0273 Probabilities. Mathematical statistics > QA0274.7 Markov processes. Markov chains
Related URLs:	https://projecteuclid.org/euclid.ejp/153...
Depositing User:	Nicos Georgiou
Date Deposited:	03 Aug 2018 14:36
Last Modified:	08 Nov 2018 09:54
URI:	http://srodev.sussex.ac.uk/id/eprint/77530

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