论文标题
无限体积等级的有效等分分布
Effective equidistribution of horospherical flows in infinite volume rank one homogeneous spaces
论文作者
论文摘要
当$ \ operatotorname {so}（n，1）^\ circ /γ$时，当$γ$是几何有限的，并且框架流量成倍地混合以实现Bowen-Margulis-Sullivan度量时，我们证明了halosperical流的有效等分。我们还讨论了已知有指数级混合结果的设置。作为证据的一部分，我们表明，当$γ$是几何有限的时，帕特森 - 苏利文措施满足了某些友好的特性。
We prove effective equidistribution of horospherical flows in $\operatorname{SO}(n,1)^\circ / Γ$ 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.
