English

On multiple recurrence and other properties of "nice" infinite measure preserving transformations

Dynamical Systems 2017-10-18 v2

Abstract

We discuss multiple versions of rational ergodicity and rational weak mixing for "nice" transformations, including Markov shifts, certain interval maps and hyperbolic geodesic flows. These properties entail multiple recurrence.

Keywords

Cite

@article{arxiv.1501.02719,
  title  = {On multiple recurrence and other properties of "nice" infinite measure preserving transformations},
  author = {Jon Aaronson and Hitoshi Nakada},
  journal= {arXiv preprint arXiv:1501.02719},
  year   = {2017}
}