Abstract
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 278:385431, 2008).
Original language  English 

Pages (fromto)  67109 
Number of pages  43 
Journal  Communications in Mathematical Physics 
Volume  331 
Issue number  1 
Early online date  7 Jun 2014 
DOIs  
Publication status  Published  31 Oct 2014 
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Dive into the research topics of 'Electrical resistance of the low dimensional critical branching random walk'. Together they form a unique fingerprint.Profiles

Antal Jarai
 Department of Mathematical Sciences  Senior Lecturer
 EPSRC Centre for Doctoral Training in Statistical Applied Mathematics (SAMBa)
 Probability Laboratory at Bath
Person: Research & Teaching