English

Geodesics rays diverging on average on a pair of pants

Dynamical Systems 2025-12-02 v1

Abstract

The aim of this paper is to characterize in terms of coding a set of limit points considered in a paper of F. Riquelme and A. Velozo corresponding to geodesic rays which spend less time in any compact region of a pair of pants with one cusp. Moreover in this particular context we reprove that the Hausdorff dimension of this set is equal 1/2 by explicit calculus.

Keywords

Cite

@article{arxiv.2512.00646,
  title  = {Geodesics rays diverging on average on a pair of pants},
  author = {Lo Cheikh and Vila Sergio},
  journal= {arXiv preprint arXiv:2512.00646},
  year   = {2025}
}
R2 v1 2026-07-01T08:01:08.370Z