2 citations · 2 across the 5 of their papers we have counts for
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Linear Bounds for Differentiable Limits of Weak Pair Correlation Functions
Christian Weiß
For and a parameter , the weak pair correlation function for the first elements of a sequence $(x_n)_{n \in \mathbb{N}} \subset…
On the Pair Correlation Statistic of Sequences with Finite Gap Property
Jasmin Fiedler, Christian Weiß
The limiting function of the pair correlation \[ \frac{1}{N} \# \left\{ 1 \leq i\neq j\leq N \middle\vert \left\lVert x_i - x_j \right\rVert \leq \frac{s}{N} \right\} \] for…
Poissonian pair correlations for dependent random variables
Jasmin Fielder, Michael Gnewuch, Christian Weiß
We consider Poissonian pair correlations (PPC) for uniformly distributed sequences of random numbers with a dependency structure. More specifically, we treat two classes of depende…
Weak Poissonian box correlations of higher order
Jasmin Fiedler, Christian Weiß
Poissonian pair correlations have sparked interest within the mathematical community, because of their number theoretic properties, and their connections to quantum physics and pro…
An Explicit non-Poissonian Pair Correlation Function
Christian Weiß
A generic uniformly distributed random sequence on the unit interval has Poissonian pair correlations. Usually, the pair correlations statistic is therefore studied for equidistrib…