  Using Gottschalk's notion\,---\,weakly locally almost periodic point, we show
in this paper that if $f\colon X\rightarrow X$ is a minimal continuous
transformation of a compact Hausdorff space $X$ to itself, then for all
entourage $\varepsilon$ of $X$, \begin{equation*} \inf_{x\in
X}\left\{\liminf_{N-M\to\infty}\frac{1}{N-M}\sum_{n=M}^{N-1}1_{\varepsilon[x]}(f^nx)\right\}>0.
\end{equation*} An analogous assertion also holds for each minimal
$C^0$-semiflow $\pi\colon \mathbb{R}_+\times X\rightarrow X$ and for any
minimal transformation group with discrete amenable phase group.
