Dimensions of invariant sets of expanding maps

DOI10.1007/BF02099551zbMath0866.58049OpenAlexW2013241441MaRDI QIDQ1918064

Huyi Hu

Publication date: 30 July 1997

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02099551

zbMATH Keywords

Lyapunov exponentsHausdorff dimensionbox dimensiontopological entropyexpanding maps

Mathematics Subject Classification ID

Entropy in general topology (54C70) Dynamical systems with hyperbolic behavior (37D99)

Related Items

Dimension theory of iterated function systems ⋮ Dimension estimates beyond conformal and hyperbolic dynamics ⋮ Random walks on \(\mathrm{Homeo}(S^1)\) ⋮ Dimension estimates in non-conformal setting ⋮ -spectra of measures on planar non-conformal attractors ⋮ The dimensions of a non-conformal repeller and an average conformal repeller ⋮ Pointwise dimension, entropy and Lyapunov exponents for $C^{1}$ maps ⋮ An entropy formula over the dynamical balls and its applications ⋮ Ledrappier-Young formulae for a family of nonlinear attractors

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
• Some relations between dimension and Lyapunov exponents
• Hausdorff dimension for horseshoes
• The Hausdorff dimension of general Sierpiński carpets
• Dimension, entropy and Lyapunov exponents
• The Hausdorff dimension of self-affine fractals
• An upper bound for the Hausdorff dimension of a hyperbolic set
• The box and Hausdorff dimension of self-affine sets