Logarithmic correction to resistance

Antal A. Járai; Dante Mata López

Logarithmic correction to resistance

Probability 2021-08-10 v2

Authors: Antal A. Járai , Dante Mata López

Abstract

We study the trace of the incipient infinite oriented branching random walk in $\mathbb{Z}^d \times \mathbb{Z}_+$ when the dimension is $d = 6$ . Under suitable moment assumptions, we show that the electrical resistance between the root and level $n$ is $O(n \log^{-\xi}n )$ for a $\xi > 0$ that does not depend on details of the model.

Keywords

random walks

Cite

@article{arxiv.2006.03988,
  title  = {Logarithmic correction to resistance},
  author = {Antal A. Járai and Dante Mata López},
  journal= {arXiv preprint arXiv:2006.03988},
  year   = {2021}
}

Comments

45 pages, 6 figures - Minor changes made to take into account the referee's comments

Related papers

View all related →