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arXiv · 2007.03135

Effective equidistribution of horospherical flows in infinite volume rank one homogeneous spaces

Nattalie Tamam·Jacqueline M. Warren
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Abstract

We prove effective equidistribution of horospherical flows in $\operatorname{SO}(n,1)^\circ / \Gamma$ when $\Gamma$ 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 $\Gamma$ is geometrically finite.

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Nattalie Tamam, Jacqueline M. Warren. 2020-07-06. Effective equidistribution of horospherical flows in infinite volume rank one homogeneous spaces. https://arxiv.org/abs/2007.03135

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