On Inhomogeneous Poissonian Pair Correlations

Manuel Hauke, Agamemnon Zafeiropoulos

arxiv（2024）

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摘要

We study the notion of inhomogeneous Poissonian pair correlations, proving several properties that show similarities and differences to its homogeneous counterpart. In particular, we show that sequences with inhomogeneous Poissonian pair correlations need not be uniformly distributed, contrary to what was till recently believed.

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