3 problems

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…

Let $K\subset\mathbb R^2$ be compact. The logarithmic capacity $\operatorname{Cap}_0(K)$ and Newtonian capacity $\operatorname{Cap}_1(K)$ are the corresponding Riesz capacities. Pó…

Positive-capacity Julia set conjecture. For every such map,