On Inhomogeneous Poissonian Pair Correlations
arXiv:2404.16542 · doi:10.1017/S0305004125000301
Abstract
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.