A note on two types of Lyapunov exponents and entropies for mathbb{Z}^k-actions
classification
🧮 math.DS
keywords
exponentslyapunovactionsdirectionalentropiesentropymathbbrandom
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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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