Curvature-direction measures of self-similar sets

DOI10.1007/s10711-012-9810-5zbMath1305.28016arXiv1111.4457OpenAlexW2074580012MaRDI QIDQ387587

Tilman Johannes Bohl, Martina Zähle

Publication date: 23 December 2013

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.4457

zbMATH Keywords

Minkowski contentself-similar setfractal curvature measureLipschitz-Killing curvature-direction measure

Mathematics Subject Classification ID

Integral geometry (53C65) Fractals (28A80) Ergodic theory (37A99) Hausdorff and packing measures (28A78)

Related Items (6)

Minkowski content and fractal curvatures of self-similar tilings and generator formulas for self-similar sets ⋮ On the packing measure of the Sierpinski gasket ⋮ Scaling exponents of curvature measures ⋮ Localization results for Minkowski contents ⋮ Renewal theorems and their application in fractal geometry ⋮ Stability Properties of Fractal Curvatures

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