Poisson and Compound Poisson Approximations in a Nonconventional Setup [article]

Yuri Kifer, Ariel Rapaport
2012 arXiv   pre-print
We show that for all ψ-mixing shifts distributions of the numbers of multiple recurrencies to shrinking cylindrical neighborhoods of all points are close either to Poisson or to compound Poisson distributions. We also describe completely the asymptotic behavior of these distributions.
arXiv:1211.5238v2 fatcat:kdxmlv4klzedho66tet3w7ofja