Minkowski content and fractal Euler characteristic for conformal graph directed systems

DOI10.4171/JFG/19zbMath1320.28014arXiv1211.7333OpenAlexW3106040893MaRDI QIDQ2351850

Sabrina Kombrink, Marc Kesseböhmer

Publication date: 26 June 2015

Published in: Journal of Fractal Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.7333

zbMATH Keywords

renewal theoryMinkowski contentfractal curvature measuresconformal graph directed systemfractal Euler characteristic

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Fractals (28A80) Renewal theory (60K05)

Related Items (10)

Lattice-type self-similar sets with pluriphase generators fail to be Minkowski measurable ⋮ Porosity in Conformal Dynamical Systems ⋮ The dimension spectrum of conformal graph directed Markov systems ⋮ Localization results for Minkowski contents ⋮ Book review of: M. Lapidus et al., Fractal zeta functions and fractal drums. Higher-dimensional theory of complex dimensions ⋮ A complex Ruelle-Perron-Frobenius theorem for infinite Markov shifts with applications to renewal theory ⋮ Multifractal spectra and multifractal zeta-functions ⋮ Renewal theorems and their application in fractal geometry ⋮ Lattice self-similar sets on the real line are not Minkowski measurable ⋮ Renewal theorems for processes with dependent interarrival times

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