Abstract: We discuss equidistribution in both the classical case over $\mathbb R/\mathbb Z$ as well as over $\mathbb Z_p$. This includes a discussion of absolute values on $\mathbb Q$, how $\mathbb Q_p$ is constructed, as well as properties of $\mathbb Q_p$ and $\mathbb Z_p$. We examine several interesting phenomena in both classical equidistribution and $p$-adic equidistribution.
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