A1 Journal article (refereed)
The case of equality in the dichotomy of Mohammadi-Oh (2019)

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

JYU authors or editors

Publication details

All authors or editors: Dufloux, Laurent

Journal or series: Journal of Fractal Geometry

ISSN: 2308-1309

Publication year: 2019

Volume: 6

Issue number: 4

Pages range: 343-366

Publisher: European Mathematical Society Publishing House

Publication country: Switzerland

Publication language: English

DOI: https://doi.org/10.4171/JFG/80

Publication open access: Not open

Publication channel open access: 

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/67754

Web address of parallel published publication (pre-print): https://arxiv.org/abs/1701.04555

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.

Keywords: geometry

Free keywords: Bowen-Margulis-Sullivan measure; Burger-Roblin measure; ergodic geometry; ergodicity; recurrence; Besicovitch projection theorem

Contributing organizations

Ministry reporting: Yes

VIRTA submission year: 2019

JUFO rating: 1