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arXiv · 1711.02851

Formula of Entropy along Unstable Foliations for $C^1$ Diffeomorphisms with Dominated Splitting

Xinsheng Wang·Lin Wang·Yujun Zhu
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Abstract

Metric entropies along a hierarchy of unstable foliations are investigated for $C^1$ diffeomorphisms with dominated splitting. The analogues of Ruelle's inequality and Pesin's formula, which relate the metric entropy and Lyapunov exponents in each hierarchy, are given.

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Xinsheng Wang, Lin Wang, Yujun Zhu. 2017-11-08. Formula of Entropy along Unstable Foliations for $C^1$ Diffeomorphisms with Dominated Splitting. https://arxiv.org/abs/1711.02851

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