Effective equidistribution of horospherical flows in infinite volume rank-one homogeneous spaces
| Autor: | NATTALIE TAMAM, JACQUELINE M. WARREN |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Ergodic Theory and Dynamical Systems. :1-61 |
| ISSN: | 1469-4417 0143-3857 |
| DOI: | 10.1017/etds.2022.47 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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