抄録
We show that for every non-elementary hyperbolic group the Bowen-Margulis current associated with a strongly hyperbolic metric forms a unique group-invariant Radon measure class of maximal Hausdorff dimension on the boundary square. Applications include a characterization of roughly similar hyperbolic metrics via mean distortion.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 3474-3520 |
| ページ数 | 47 |
| ジャーナル | Ergodic Theory and Dynamical Systems |
| 巻 | 41 |
| 号 | 11 |
| DOI | |
| 出版ステータス | Published - 2021 11月 30 |
ASJC Scopus subject areas
- 数学 (全般)
- 応用数学