On the Bernoulli nature of systems with some hyperbolic structure
On the Bernoulli nature of systems with some hyperbolic structure
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DOI：
10.1017/s0143385798100354
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发表时间：
1998-04
影响因子：
0.9
通讯作者：
D. Ornstein;B. Weiss
中科院分区：
文献类型：
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作者：
D. Ornstein;B. Weiss
结果表明，具有双曲结构的系统具有Bernoulli性质。还得到了关于双曲型Bernoulli流光滑截面的一些新结果。这些证明涉及我们原始方法的抽象版本，用于证明负曲率曲面上的测地线流是Bernoulli的。
It is shown that systems with hyperbolic structure have the Bernoulli property. Some new results on smooth cross-sections of hyperbolic Bernoulli flows are also derived. The proofs involve an abstract version of our original methods for showing that the geodesic flow on surfaces of negative curvature are Bernoulli.