Ergodic behaviour of Sullivan's geometric measure on a geometrically finite hyperbolic manifold
Ergodic behaviour of Sullivan's geometric measure on a geometrically finite hyperbolic manifold
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几何有限双曲流形上沙利文几何测度的遍历行为
DOI：
10.1017/s0143385700001735
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发表时间：
1982
影响因子：
0.9
通讯作者：
D. Rudolph
中科院分区：
文献类型：
--
作者：
D. Rudolph
摘要本文证明了几何有限双曲流形上的Sullivan几何测度满足水平球面上的平均遍历定理，并由此证明了测地线流是Bernoulli流。
Abstract Sullivan's geometric measure on a geometrically finite hyperbolic manifold is shown to satisfy a mean ergodic theorem on horospheres and through this that the geodesic flow is Bernoulli.