The Metric Entropy of Endomorphisms

被引：1
|
作者：
Lin Shu
机构：
[1] Peking University,LMAM, School of Mathematical Sciences
来源：
Communications in Mathematical Physics | 2009年 / 291卷
关键词：
Entropy; Lyapunov Exponent; Stable Manifold; Borel Probability Measure; Invariant Probability Measure;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove that, for a C2 non-invertible but non-degenerate map on a compact Riemannian manifold without boundary, an invariant measure satisfies an equality relating entropy, folding entropy and negative Lyapunov exponents. This generalizes Ledrappier-Young’s entropy formula [5] (for negative Lyapunov exponents of diffeomorphisms) to the case of endomorphisms.
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页码：491 / 512
页数：21
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