English

Quantitative shrinking target properties for rotations and interval exchanges

Dynamical Systems 2018-04-12 v5 Geometric Topology

Abstract

This paper presents quantitative shrinking target results for rotations and interval exchange transformations. To do this a quantitative version of a unique ergodicity criterion of Boshernitzan is established.

Cite

@article{arxiv.1201.0941,
  title  = {Quantitative shrinking target properties for rotations and interval exchanges},
  author = {Jon Chaika and David Constantine},
  journal= {arXiv preprint arXiv:1201.0941},
  year   = {2018}
}

Comments

45 pages. Significant revisions and clarifications since the previous posting

R2 v1 2026-06-21T20:00:13.846Z