The Shape of Anisotropic Fractals: Scaling of Minkowski Functionals

DOI10.1007/978-3-319-18660-3_3zbMath1338.28009OpenAlexW2470906393MaRDI QIDQ2808812

Philipp Schönhöfer, Klaus R. Mecke

Publication date: 25 May 2016

Published in: Fractal Geometry and Stochastics V (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-18660-3_3

zbMATH Keywords

anisotropyfractalsintegral geometryMinkowski functionalsDLA

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (1)

Geometric functionals of fractal percolation

Cites Work

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• Pointwise tube formulas for fractal sprays and self-similar tilings with arbitrary generators
• Integral geometry of tensor valuations
• Description of continuous isometry covariant valuations on convex sets
• Characterization of Minkowski measurability in terms of surface area
• Counterexamples to the modified Weyl–Berry conjecture on fractal drums
• Fractal curvature measures of self-similar sets

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