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arxiv: 1410.4346 · v1 · submitted 2014-10-16 · 🧮 math.NT · math.DS

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Sequences modulo one: convergence of local statistics

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keywords modulosequencesequencesanglesbeyondbmod1convergenceequidistribution
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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 $.

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