  Here we would like to review recent progress on the resummation on logarithms
of $\alpha_s$ in heavy quarkonium. We will mainly focus on the phenomenological
relevance of these achievements. Determinations of the $\eta_b(1S)$ mass,
$B_c(1S)$ hyperfine splitting, inclusive electromagnetic decays and
implications for $t$-$\bar t$ production near threshold.
