2 problems

Let $\alpha_4^{an}(r,n)$ denote the annealed probability of the relevant four-arm event from scale $r$ to scale $n$, for $1\leq r\leq n$. The four-arm exponent conjecture. One has…

Arm-exponent universality conjecture. There exists $\rho=\rho(\sigma,\mathbf{p})>0$ such that