| Autor: |
TAMAM, NATTALIE, WARREN, JACQUELINE M. |
| Zdroj: |
Ergodic Theory & Dynamical Systems; Aug2023, Vol. 43 Issue 8, p2780-2840, 61p |
| Abstrakt: |
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. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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