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An upper bound for the Hausdorff dimension of a hyperbolic set

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Publication:3976856
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DOI10.1088/0951-7715/4/3/016zbMath0742.58041OpenAlexW2059534360MaRDI QIDQ3976856

Xiaoping Gu

Publication date: 25 June 1992

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/4/3/016


zbMATH Keywords

Lyapunov exponentsHausdorff dimensiontopological entropyhyperbolic set


Mathematics Subject Classification ID

Entropy in general topology (54C70) Hausdorff and packing measures (28A78) Dynamical systems with hyperbolic behavior (37D99)


Related Items (5)

Dimension estimates beyond conformal and hyperbolic dynamics ⋮ Lyapunov's direct method in estimates of topological entropy ⋮ Dimensions of invariant sets of expanding maps ⋮ Bounded distortion and dimension for non-conformal repellers ⋮ Dimension estimates in smooth dynamics: a survey of recent results







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