Effective equidistribution of horospherical flows in infinite volume rank-one homogeneous spaces
Author(s)
TAMAM, NATTALIE
WARREN, JACQUELINE M
Type
Journal Article
Abstract
We prove effective equidistribution of horospherical flows in SO(n,1)∘/Γ when Γ is geometrically finite and the frame flow is exponentially mixing for the Bowen–Margulis–Sullivan measure. We also discuss settings in which such an exponential mixing result is known to hold. As part of the proof, we show that the Patterson–Sullivan measure satisfies some friendly like properties when Γ is geometrically finite.
Date Issued
2023-08-01
Date Acceptance
2022-04-07
Citation
Ergodic Theory and Dynamical Systems, 2023, 43 (8), pp.2780-2840
ISSN
0143-3857
Publisher
Cambridge University Press
Start Page
2780
End Page
2840
Journal / Book Title
Ergodic Theory and Dynamical Systems
Volume
43
Issue
8
Copyright Statement
© The Author(s), 2022. Published by Cambridge University Press. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.
License URL
Publication Status
Published
Date Publish Online
2022-08-09