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

Nattalie Tamam; Jacqueline M. Warren

doi:10.1017/etds.2022.47

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

Nattalie Tamam^*, Jacqueline M. Warren

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We prove effective equidistribution of horospherical flows in when 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 is geometrically finite.

Original language	English
Pages (from-to)	2780-2840
Number of pages	61
Journal	Ergodic Theory and Dynamical Systems
Volume	43
Issue number	8
DOIs	https://doi.org/10.1017/etds.2022.47
State	Published - 9 Aug 2023
Externally published	Yes

Keywords

hyperbolic surface
orbit closure
unipotent flows

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10.1017/etds.2022.47

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abstract = "We prove effective equidistribution of horospherical flows in when 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 is geometrically finite.",

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AU - Warren, Jacqueline M.

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N2 - We prove effective equidistribution of horospherical flows in when 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 is geometrically finite.

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KW - orbit closure

KW - unipotent flows

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

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Keywords

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