Minimal fine limits on trees
Minimal fine limits on trees
Let $T$ be the set of vertices of a tree. We assume that the Green function is finite and $G(s,t) \rightarrow 0$ as $|s| \rightarrow \infty$ for each vertex $t$. For $v$ positive superharmonic on $T$ and $E$ a subset of $T$, the reduced function of $v$ on $E$ is …