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A note on two types of Lyapunov exponents and entropies for $mathbb{Z}^k$-actions

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 نشر من قبل Yujun Zhu
 تاريخ النشر 2017
  مجال البحث
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 تأليف Yujun Zhu




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In this paper, two types of Lyapunov exponents: random Lyapunov exponents and directional Lyapunov exponents, and the corresponding entropies: random entropy and directional entropy, are considered for smooth $mathbb{Z}^k$-actions. The close relation among these quantities are investigated and the formulas of them are given via the Lyapunov exponents of the generators.



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