A notion of Euler characteristic for fractals
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Publication:3427408
DOI10.1002/mana.200410471zbMath1118.28006OpenAlexW2109712099MaRDI QIDQ3427408
Marta Llorente, Steffen Winter
Publication date: 20 March 2007
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.200410471
Length, area, volume, other geometric measure theory (28A75) Fractals (28A80) Renewal theory (60K05)
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Refinement of the spectral asymptotics of generalized Krein Feller operators ⋮ Fractal curvature measures and Minkowski content for self-conformal subsets of the real line ⋮ Lipschitz-Killing curvatures of self-similar random fractals ⋮ Geometry of canonical self-similar tilings ⋮ Asymptotic order of quantization for Cantor distributions in terms of Euler characteristic, Hausdorff and packing measure ⋮ Pointwise tube formulas for fractal sprays and self-similar tilings with arbitrary generators ⋮ The normal cycle of a compact definable set ⋮ Estimation of fractal dimension and fractal curvatures from digital images ⋮ Minkowski content and fractal Euler characteristic for conformal graph directed systems
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