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
Pages (from-to)1775-1807
Number of pages33
JournalAnnales de l'Institut Henri Poincaré: Probabilités et Statistiques
Volume58
Issue number3
Early online date14 Jul 2022
DOIs
Publication statusPublished - 31 Aug 2022

Bibliographical note

Funding Information:
The second author was supported by CONACyT Mexico Grant 836354.

Keywords

  • Anomalous diffusion
  • Branching random walk
  • Electrical resistance

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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