%0 Journal Article %T Sequences modulo one: convergence of local statistics %A Ilya Vinogradov %J Mathematics %D 2014 %I arXiv %X We survey recent results beyond equidistribution of sequences modulo one. We focus on the sequence of angles in a Euclidean lattice in $\mathbb R^2$ and on the sequence $\sqrt n\bmod1 $. %U http://arxiv.org/abs/1410.4346v1