Curvature densities of self-similar sets

DOI10.1512/iumj.2012.61.4681zbMath1279.28016arXiv1009.6162OpenAlexW2963347897MaRDI QIDQ2851021

Jan Rataj, Martina Zähle

Publication date: 1 October 2013

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.6162

zbMATH Keywords

dynamical systemself-similar setsfractal curvatures

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Ergodic theorems, spectral theory, Markov operators (37A30) Length, area, volume, other geometric measure theory (28A75) Integral geometry (53C65) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (7)

Minkowski content and fractal curvatures of self-similar tilings and generator formulas for self-similar sets ⋮ Curvature-direction measures of self-similar sets ⋮ Scaling exponents of curvature measures ⋮ Localization results for Minkowski contents ⋮ Estimation of fractal dimension and fractal curvatures from digital images ⋮ Besov class via heat semigroup on Dirichlet spaces. III: BV functions and sub-Gaussian heat kernel estimates ⋮ Stability Properties of Fractal Curvatures

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