3 problems

Ising crossing-probability conjecture. The crossing probabilities converge according to

Universal crossing conjecture. There is a universal constant $c>0$ such that the probability of a black left-to-right crossing is greater than $c$.

Let $\kappa\in(0,8)$, and consider a multiple-SLE$_\kappa$ process growing $2N$ curves in the upper half-plane from points $x_1<x_2<\ldots<x_{2N}$, with SLE$_\kappa$ partition func…