English

An upper bound on the dimension of the Rauzy gasket

Dynamical Systems 2023-05-23 v2

Abstract

In this note, we give an elementary proof that the Hausdorff dimension of the Rauzy gasket is at most 1.7407, improving upon results of Avila et al. and Fougeron.

Keywords

Cite

@article{arxiv.2110.07264,
  title  = {An upper bound on the dimension of the Rauzy gasket},
  author = {Mark Pollicott and Benedict Sewell},
  journal= {arXiv preprint arXiv:2110.07264},
  year   = {2023}
}