论文标题
凸侧共连双曲线歧管的框架流量的指数混合
Exponential mixing of frame flows for convex cocompact hyperbolic manifolds
论文作者
论文摘要
本文的目的是建立与Bowen-Margulis-Sullivan度量的任意维度的凸相化双曲线歧管的框架流量的指数混合。一些直接应用包括用于矩阵系数的渐近公式，具有指数误差项以及封闭地球体的全体性质的指数等分分布。主要的技术结果是频谱绑定在转移操作员被尸体扭曲的转移算子上，我们通过基于Dolgopyat的方法来获得。
The aim of this paper is to establish exponential mixing of frame flows for convex cocompact hyperbolic manifolds of arbitrary dimension with respect to the Bowen-Margulis-Sullivan measure. Some immediate applications include an asymptotic formula for matrix coefficients with an exponential error term as well as the exponential equidistribution of holonomy of closed geodesics. The main technical result is a spectral bound on transfer operators twisted by holonomy, which we obtain by building on Dolgopyat's method.
