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arXiv · 2006.03988

Logarithmic correction to resistance

Antal A. Járai·Dante Mata López
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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.

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Antal A. Járai, Dante Mata López. 2020-06-06. Logarithmic correction to resistance. https://arxiv.org/abs/2006.03988

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