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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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Official URL: http://dx.doi.org/10.1214/18-EJP201
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 |
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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 |
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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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Project Name | Sussex Project Number | Funder | Funder Ref |
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The flat edge in last passage percolation | G2031 | EPSRC-ENGINEERING & PHYSICAL SCIENCES RESEARCH COUNCIL | EP/P021409/1 |