3 papers
math.NT2025
Poissonian pair correlations for dependent random variables
Jasmin Fielder, Michael Gnewuch, Christian WeiÃ
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…
math.NT2025
Weak Poissonian box correlations of higher order
Jasmin Fiedler, Christian WeiÃ
Poissonian pair correlations have sparked interest within the mathematical community, because of their number theoretic properties, and their connections to quantum physics and pro…
math.NT2025
On the Pair Correlation Statistic of Sequences with Finite Gap Property
Jasmin Fiedler, Christian WeiÃ
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…