Poisson and Compound Poisson Approximations in a Nonconventional Setup
Probability
2012-12-11 v2 Dynamical Systems
Abstract
We show that for all -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.
Cite
@article{arxiv.1211.5238,
title = {Poisson and Compound Poisson Approximations in a Nonconventional Setup},
author = {Yuri Kifer and Ariel Rapaport},
journal= {arXiv preprint arXiv:1211.5238},
year = {2012}
}
Comments
slightly revised version