Monthly Archives: February 2020

In this post, we will prove the Weyl’s Equidistribution theorem. A sequence of real numbers $x_1, x_2, \cdots$ is said to be equidistributed (mod 1) if for every sub-interval $(a,b)\subset [0,1]$, we have $$\lim_{N\to \infty}\frac{|\{1\leq n\leq N:\; \langle x_n \rangle\in … Continue reading →