English

Estimating Hausdorff measure for Denjoy maps

Dynamical Systems 2022-12-09 v1

Abstract

By employing the recurrence method worked out in `Estimating the Hausdorff measure by recurrence', we provide effective lower estimates of the proper--dimensional Hausdorff measure of minimal sets of circle homeomorphisms that are not conjugate to any rotation.

Keywords

Cite

@article{arxiv.2212.03902,
  title  = {Estimating Hausdorff measure for Denjoy maps},
  author = {Łukasz Pawelec and Mariusz Urbański},
  journal= {arXiv preprint arXiv:2212.03902},
  year   = {2022}
}
R2 v1 2026-06-28T07:25:11.380Z