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The dimension of the range of a transient random walk
journal contribution
posted on 2023-06-09, 14:22 authored by Nicos GeorgiouNicos Georgiou, Davar Khoshnevisan, Kunwoo Kim, Alex RamosWe 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).
Funding
The flat edge in last passage percolation; G2031; EPSRC-ENGINEERING & PHYSICAL SCIENCES RESEARCH COUNCIL; EP/P021409/1
History
Publication status
- Published
File Version
- Published version
Journal
Electronic Journal of ProbabilityISSN
1083-6489Publisher
Institute of Mathematical StatisticsExternal DOI
Issue
83Volume
23Page range
1-31Department affiliated with
- Mathematics Publications
Research groups affiliated with
- Probability and Statistics Research Group Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2018-08-03First Open Access (FOA) Date
2018-08-03First Compliant Deposit (FCD) Date
2018-08-02Usage metrics
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