Complex dimensions of fractals and meromorphic extensions of fractal zeta functions
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Publication:2396879
DOI10.1016/j.jmaa.2017.03.059zbMath1365.28008arXiv1508.04784OpenAlexW1856366937MaRDI QIDQ2396879
Goran Radunović, Michel L. Lapidus, Darko Žubrinić
Publication date: 26 May 2017
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.04784
Dirichlet integralfractal setMinkowski contentmeromorphic extensiondistance zeta functionprincipal complex dimensions
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Fractal zeta functions of orbits of parabolic diffeomorphisms ⋮ 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 ⋮ Fractal zeta functions and complex dimensions of relative fractal drums ⋮ Fractal Zeta Functions and Complex Dimensions: A General Higher-Dimensional Theory ⋮ An overview of complex fractal dimensions: from fractal strings to fractal drums, and back
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