Partition zeta functions, multifractal spectra, and tapestries of complex dimensions

DOI10.1142/9789814366076_0012zbMath1351.28011arXiv1007.1467OpenAlexW3010810989MaRDI QIDQ3462447

Michel L. Lapidus, Kate E. Ellis, Michael Mackenzie, John A. Rock

Publication date: 14 January 2016

Published in: Benoit Mandelbrot (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.1467

zbMATH Keywords

Dirichlet seriesHölder regularitymultifractal spectrumpartition zeta functions

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (4)

\(h\)-Laplacians on singular sets ⋮ 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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