Polynomial lower bound on the effective resistance for the one-dimensional critical long-range percolation

Jian Ding, Zherui Fan, Lu-Jing Huang

In this work, we study the critical long-range percolation on $\mathbb{Z}$, where an edge connects $i$ and $j$ independently with probability $1-\exp \{-\beta |i-j{|}^{-2}\}$ for some fixe…