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15 August 2016 Classification of joinings for Kleinian groups
Amir Mohammadi, Hee Oh
Duke Math. J. 165(11): 2155-2223 (15 August 2016). DOI: 10.1215/00127094-3476807

Abstract

We classify all locally finite joinings of a horospherical subgroup action on ΓG when Γ is a Zariski-dense geometrically finite subgroup of G=PSL2(R) or PSL2(C). This generalizes Ratner’s 1983joining theorem for the case when Γ is a lattice in G. One of the main ingredients is equidistribution of nonclosed horospherical orbits with respect to the Burger–Roblin measure, which we prove in a greater generality where Γ is any Zariski-dense geometrically finite subgroup of G=SO(n,1), n2.

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Amir Mohammadi. Hee Oh. "Classification of joinings for Kleinian groups." Duke Math. J. 165 (11) 2155 - 2223, 15 August 2016. https://doi.org/10.1215/00127094-3476807

Information

Received: 20 September 2014; Revised: 8 September 2015; Published: 15 August 2016
First available in Project Euclid: 21 April 2016

zbMATH: 1362.37009
MathSciNet: MR3536991
Digital Object Identifier: 10.1215/00127094-3476807

Subjects:
Primary: 37A17
Secondary: 11N45, 20F67, 22E40, 37F35, 57M60

Rights: Copyright © 2016 Duke University Press

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Vol.165 • No. 11 • 15 August 2016
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