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Poissonian pair correlations for dependent random variables

Poissonian pair correlations for dependent random variables

Finding explicit examples of sequences $(x_n)_{n \in \mathbb{N}}$ with Poissonian pair correlations (PPC) turns out to be a difficult problem. Therefore, this property is often studied in a random setting. While it is known that i.i.d. sequences of uniformly distributed random variables generically have Poissonian pair correlations, the case of …