Self-similar \(p\)-adic fractal strings and their complex dimensions

DOI10.1134/S2070046609020083zbMath1187.28014OpenAlexW2009315160MaRDI QIDQ974460

Lũ' Hùng, Michel L. Lapidus

Publication date: 3 June 2010

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046609020083

zbMATH Keywords

self-similarityzeta functionsfractal geometry\(p\)-adic analysiscomplex dimensionslattice strings and Minkowski dimension

Mathematics Subject Classification ID

Fractals (28A80) Zeta functions and (L)-functions (11S40) Dynamical systems over non-Archimedean local ground fields (37P20)

Related Items

\(p\)-adic mathematical physics: the first 30 years ⋮ Towards quantized number theory: spectral operators and an asymmetric criterion for the Riemann hypothesis ⋮ \(p\)-adic Brownian motion as a limit of discrete time random walks ⋮ Truncated infinitesimal shifts, spectral operators and quantized universality of the Riemann zeta function ⋮ \(p\)-adic fractal strings of arbitrary rational dimensions and Cantor strings ⋮ An overview of complex fractal dimensions: from fractal strings to fractal drums, and back

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