We show that the electrical resistance between the origin and generation n of the incipient infinite oriented branching random walk in dimensions d <6 is O(n) for some universal constant α > 0. This answers a question of Barlow et al. (Commun Math Phys 278:385-431, 2008).
|Number of pages||43|
|Journal||Communications in Mathematical Physics|
|Early online date||7 Jun 2014|
|Publication status||Published - 31 Oct 2014|
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- Department of Mathematical Sciences - Senior Lecturer
- EPSRC Centre for Doctoral Training in Statistical Applied Mathematics (SAMBa)
- Probability Laboratory at Bath
Person: Research & Teaching