6 citations · 9 across the 13 of their papers we have counts for
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Some Connections Between Discrepancy, Finite Gap Properties, and Pair Correlations
Christian Weiß
A generic uniformly distributed sequence in possesses Poissonian pair correlations (PPC). Vice versa, it has been proven that a sequence with PPC…
Remarks on the Pair Correlation Statistic of Kronecker Sequences and Lattice Point Counting
Christian Weiß
In this short note, we reformulate the task of calculating the pair correlation statistics of a Kronecker sequence as a lattice point counting problem. This can be done analogously…
Systems of Rank One, Explicit Rokhlin Towers, and Covering Numbers
Christian Weiß
Rotations of the one-dimensional torus (equipped with the normalized Lebesgue measure) by an irrational angle are known to be dynamical systems of rank one. This is equiv…
Multi-dimensional Kronecker Sequences with a Small Number of Gap Lengths
Christian Weiß
Recently, generalizations of the classical Three Gap Theorem to higher dimensions attracted a lot of attention. In particular, upper bounds for the number of nearest neighbor dista…