The case of equality in the dichotomy of Mohammadi-Oh
Dufloux, Laurent (2019). The case of equality in the dichotomy of Mohammadi-Oh. Journal of Fractal Geometry, 6 (4), 343-366. DOI: 10.4171/JFG/80
Published inJournal of Fractal Geometry
© European Mathematical Society 2019
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.
PublisherEuropean Mathematical Society Publishing House
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