Fractal Zeta Functions and Complex Dimensions: A General Higher-Dimensional Theory

DOI10.1007/978-3-319-18660-3_13zbMath1381.11092arXiv1502.00878OpenAlexW3123573622MaRDI QIDQ2808822

Michel L. Lapidus, Goran Radunović, Darko Žubrinić

Publication date: 25 May 2016

Published in: Fractal Geometry and Stochastics V (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.00878

zbMATH Keywords

fractal setMinkowski contentMinkowski measurabilityfractal tube formulasabscissa of convergencedistance zeta functiontube zeta functionquasiperiodic setquasiperiodic functionrelative fractal drumcomplex dimensions of a fractal setfractal zeta functionsupper box (or Minkowski) dimensionholomorphic and meromorphic functionsgeometric zeta function of a fractal string

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Other Dirichlet series and zeta functions (11M41) Fractals (28A80)

Related Items (5)

Complex dimensions of fractals and meromorphic extensions of fractal zeta functions ⋮ Quasiperiodic sets at infinity and meromorphic extensions of their fractal zeta functions ⋮ Fractal tube formulas and a Minkowski measurability criterion for compact subsets of Euclidean spaces ⋮ Distance and tube zeta functions of fractals and arbitrary compact sets ⋮ An overview of complex fractal dimensions: from fractal strings to fractal drums, and back

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