Logarithmic correction to resistance

Antal Jarai, Dante Mata Lopez

Research output: Contribution to journalArticlepeer-review

Abstract

We study the trace of the incipient infinite oriented branching random walk in Zd×Z+ when the dimension is d=6. Under suitable moment assumptions, we show that the electrical resistance between the root and level n is O(nlog-ξn) for a ξ>0 that does not depend on details of the model.
Original languageEnglish
Number of pages32
JournalAnnales de l'Institut Henri Poincaré: Probabilités et Statistiques
Publication statusAcceptance date - 10 Sep 2021

Keywords

  • electrical resistance, branching random walk, anomalous diffusion

Cite this