3 problems

Let $\Omega$ be a product space, let $\mu$ be a product measure on $\Omega$, and let ${\mathcal A},{\mathcal B},{\mathcal C}\subseteq\Omega$ be increasing events. Sahi's conjecture…

An FK random-cluster model with cluster-weight parameter $q>0$ induces a color process by assigning independent colors to its percolation clusters. Positive-association conjecture.…

Evans's conjecture. The squared centered Gaussian vector $\eta^2$ is positively correlated if and only if there exists a function $\sigma:\{1,\ldots,n\}\to\{-1,1\}$ such that…