The logarithmic-corrections conjecture for critical long-range percolation
Let d≥1d\geq 1d≥1, and let J:Zd×Zd→[0,∞)J:\mathbb{Z}^d\times\mathbb{Z}^d\to[0,\infty)J:Zd×Zd→[0,∞) be a symmetric, integrable, translation-invariant kernel. Suppose that there are constants 0<α<d0<\alpha<d0<α<d and…