On self-affine measures with equal Hausdorff and Lyapunov dimensions
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Publication:4635478
DOI10.1090/tran/7099zbMath1386.37021arXiv1511.06893OpenAlexW2963949992MaRDI QIDQ4635478
Publication date: 23 April 2018
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.06893
Related Items (14)
Hausdorff dimension of planar self-affine sets and measures with overlaps ⋮ Ledrappier-Young formula and exact dimensionality of self-affine measures ⋮ Dimension maximizing measures for self-affine systems ⋮ Dimension of invariant measures for affine iterated function systems ⋮ On the $L^q$-dimensions of measures on Hueter-Lalley type self-affine sets ⋮ Hausdorff dimension of planar self-affine sets and measures ⋮ A converse statement to Hutchinson's theorem and a dimension gap for self-affine measures ⋮ On the dimension of Furstenberg measure for \({SL}_{2}(\mathbb {R})\) random matrix products ⋮ An explicit formula for the pressure of box-like affine iterated function systems ⋮ The Lq$L^q$ spectrum of self‐affine measures on sponges ⋮ Dimension of the repeller for a piecewise expanding affine map ⋮ On equality of Hausdorff and affinity dimensions, via self-affine measures on positive subsystems ⋮ On the dimension of triangular self-affine sets ⋮ Equilibrium states of generalised singular value potentials and applications to affine iterated function systems
Cites Work
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- On the Furstenberg measure and density of states for the Anderson-Bernoulli model at small disorder
- Hausdorff dimension for randomly perturbed self affine attractors
- A reduction technique for limit theorems in analysis and probability theory
- On the dimension of Furstenberg measure for \({SL}_{2}(\mathbb {R})\) random matrix products
- Random Walks on Reductive Groups
- Dimension theory of iterated function systems
- The Hausdorff dimension of general Sierpiński carpets
- The Hausdorff dimension of self-affine fractals
- Hausdorff and packing dimensions and sections of measures
- Measure and dimension for some fractal families
- Planar self-affine sets with equal Hausdorff, box and affinity dimensions
- Finitely Supported Measures on $$S{L}_{2}(\mathbb{R})$$ Which are Absolutely Continuous at Infinity
- Dimensions of Self-affine Sets: A Survey
- Fourier Analysis and Hausdorff Dimension
- On the Ledrappier–Young formula for self-affine measures
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