On the Minkowski Measurability of Self-Similar Fractals in R^d
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Publication:2862261
zbMath1277.28002arXiv1006.5883MaRDI QIDQ2862261
Yunus Özdemir, Adem Ersin Üreyen, Mehmet Şahin Koçak, Ali Deniz, Andrei V. Ratiu
Publication date: 14 November 2013
Full work available at URL: https://arxiv.org/abs/1006.5883
Contents, measures, outer measures, capacities (28A12) Length, area, volume, other geometric measure theory (28A75) Fractals (28A80)
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Minkowski content and fractal curvatures of self-similar tilings and generator formulas for self-similar sets ⋮ Lattice-type self-similar sets with pluriphase generators fail to be Minkowski measurable ⋮ The tail of the maximum of smooth Gaussian fields on fractal sets ⋮ Book review of: M. Lapidus et al., Fractal zeta functions and fractal drums. Higher-dimensional theory of complex dimensions ⋮ Renewal theorems and their application in fractal geometry ⋮ An overview of complex fractal dimensions: from fractal strings to fractal drums, and back ⋮ Minkowski content and fractal Euler characteristic for conformal graph directed systems
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