Minkowski content and fractal curvatures of self-similar tilings and generator formulas for self-similar sets

DOI10.1016/j.aim.2015.01.005zbMath1369.28010arXiv1403.5201OpenAlexW2963214353MaRDI QIDQ2359930

Steffen Winter

Publication date: 23 June 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.5201

zbMATH Keywords

renewal theoremMinkowski contentself-similar setMinkowski measurabilityself-similar tilinggenerator formula

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Length, area, volume, other geometric measure theory (28A75) Fractals (28A80)

Related Items (6)

Lattice-type self-similar sets with pluriphase generators fail to be Minkowski measurable ⋮ INHERENT FEATURES OF FRACTAL SETS AND KEY ATTRIBUTES OF FRACTAL MODELS ⋮ 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 ⋮ Besov class via heat semigroup on Dirichlet spaces. III: BV functions and sub-Gaussian heat kernel estimates

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