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).
- Department of Mathematical Sciences - Senior Lecturer
- EPSRC Centre for Doctoral Training in Statistical Applied Mathematics (SAMBa)
- Probability Laboratory at Bath
Person: Research & Teaching
Járai, A. A., & Nachmias, A. (2014). Electrical resistance of the low dimensional critical branching random walk. Communications in Mathematical Physics, 331(1), 67-109. https://doi.org/10.1007/s00220-014-2085-y