Multifractal analysis of non-conformal repellers: a model case

DOI10.1080/14689360600872631zbMath1119.37022OpenAlexW2039916053MaRDI QIDQ3446570

Lucian Radu, Luis Barreira

Publication date: 19 June 2007

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360600872631

zbMATH Keywords

dimension spectrumexpanding map

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Entropy and other invariants (28D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dimension theory of smooth dynamical systems (37C45)

Related Items (4)

The thermodynamic approach to multifractal analysis ⋮ Multifractal analysis for Lyapunov exponents on nonconformal repellers ⋮ Random self-affine multifractal Sierpinski sponges in \(\mathbb R^d\) ⋮ Multifractal analysis of Birkhoff averages for some self-affine IFS

Cites Work

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• Hausdorff dimension of limit sets for parabolic IFS with overlaps.
• Box dimensions and topological pressure for some expanding maps
• Invariant measures for parabolic IFS with overlaps and random continued fractions
• The Hausdorff dimension of the Smale-Williams solenoid with different contraction coefficients
• Hausdorff dimension for non-invertible maps
• The Hausdorff dimension of self-affine fractals
• Hausdorff dimension for horseshoes in $\mathbb{R}^3$
• Bounded distortion and dimension for non-conformal repellers
• The Hausdorff Dimension of λ-Expansions with Deleted Digits
• Repellers for real analytic maps
• The Hausdorff dimension of certain solenoids

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