Intermediate dimensions
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Publication:2197674
DOI10.1007/s00209-019-02452-0zbMath1448.28009arXiv1811.06493OpenAlexW2900804084MaRDI QIDQ2197674
Jonathan M. Fraser, Tom Kempton, Kenneth J. Falconer
Publication date: 1 September 2020
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.06493
Fractals (28A80) Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45)
Related Items (17)
Intermediate dimensions of infinitely generated attractors ⋮ Dimensions of a class of self-affine Moran sets ⋮ Intermediate Assouad-like dimensions ⋮ Projection theorems for Hewitt-Stromberg and modified intermediate dimensions ⋮ The fractal structure of elliptical polynomial spirals ⋮ An upper bound for the intermediate dimensions of Bedford-McMullen carpets ⋮ Gap sequences and Topological properties of Bedford–McMullen sets* ⋮ Attainable forms of intermediate dimensions ⋮ Generalised intermediate dimensions ⋮ Dimensions of popcorn-like pyramid sets ⋮ Interpolating between dimensions ⋮ Projection theorems for intermediate dimensions ⋮ Intermediate dimension of images of sequences under fractional Brownian motion ⋮ Stereographic metric and dimensions of fractals on the sphere ⋮ Dimensions of fractional Brownian images ⋮ Intermediate Dimensions: A Survey ⋮ Fractal Geometry of Bedford-McMullen Carpets
Cites Work
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- New dimension spectra: finer information on scaling and homogeneity
- Assouad dimension of self-affine carpets
- An estimate on the parabolic fractal dimension of the singular set for solutions of the Navier–Stokes system
- Assouad type dimensions and homogeneity of fractals
- The Hausdorff dimension of general Sierpiński carpets
- The self-affine carpets of McMullen and Bedford have infinite Hausdorff measure
- Dimensions of Self-affine Sets: A Survey
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