An upper bound on the two-arms exponent for critical percolation on ${\mathbb{Z}}^d$

Jacob van den Berg, Diederik van Engelenburg

Consider critical site percolation on ${\mathbb{Z}}^d$ with $d\ge 2$. Cerf (2015) pointed out that from classical work by Aizenman, Kesten and Newman (1987) and Gandolfi, Grimmett…