The case of equality in the dichotomy of Mohammadi-Oh
Abstract
If n≥3 and Γ is a convex-cocompact Zariski-dense discrete subgroup of SOo(1,n+1) such that δΓ=n−m where m is an integer, 1≤m≤n−1, we show that for any m-dimensional subgroup U in the horospheric group N, the Burger-Roblin measure associated to Γ on the quotient of the frame bundle is U-recurrent.
Main Author
Format
Articles
Research article
Published
2019
Series
Subjects
Publication in research information system
Publisher
European Mathematical Society Publishing House
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202002062001Use this for linking
Review status
Peer reviewed
ISSN
2308-1309
DOI
https://doi.org/10.4171/JFG/80
Language
English
Published in
Journal of Fractal Geometry
Citation
- Dufloux, L. (2019). The case of equality in the dichotomy of Mohammadi-Oh. Journal of Fractal Geometry, 6(4), 343-366. https://doi.org/10.4171/JFG/80
License
Copyright© European Mathematical Society 2019