Applications of equidistribution What are applications of equidistributed sequences ?
I'm looking for examples of problems/questions in fields (not necessarily mathematical) where equidistribution is an ad-hoc tool towards a solution.

This is not too broad, but it reminds me of a solution to a specific problem:
Show that the sequence $tan(n) ; n=1,2,3,...$ diverges.
We (can) show this by using equidistribution of $\pi$ ( and therefore $\pi/2) mod1$, meaning the decimal parts of $\{\pi, 2\pi,..., n\pi,...\}$ are dense in the unit interval. It follows that the sequence $$a_n =n $$ will be indefinitely close to (but never actually equal to, by irrationality of $\pi$) to $(4k \pm 1)\pi/2$ , so that $tan(n)$ will blow up
for infinitely-many n, meaning beyond any specific/fixed value of n. So $tan(n)$ diverges. EDIT: What  I mean here is that the decimal parts of $\{\pi,2pi,..., n\pi,...\}$ are dense on the unit interval. I stand by it despite the downvote.
