2 problems

Let $(\Omega,S,B,\mu)$ be a tree-indexed process, and let $A(\Gamma;B)$ be the event that there is a witness in $\partial\Gamma$. Let $x(\omega)$ be any random element of…

Let $(\Omega,S,B,\mu)$ be a tree-indexed process. Define … so that $f(n)$ is the probability that a sequence of $n$ IID picks from $\mu$ extends to some sequence in $B$. The conver…