Capacity of a finite set for a transient random walk
= Capacity of a finite set for a transient random walk
{title2=$\operatorname{cap}(A)$}
The capacity of a finite set is the total mass of its <equilibrium measure of a finite set>:
$$
\operatorname{cap}(A)=\sum_xe_A(x)=\mathcal E(h_A,h_A).
$$
Capacity is monotone under inclusion, though strict inclusion need not give strict inequality.