Minkowski Measurability and Exact Fractal Tube Formulas for 𝑝-Adic Self-Similar Strings

DOI10.1090/CONM/600/11949zbMath1321.37081arXiv1209.6440OpenAlexW2098742389MaRDI QIDQ2949945

Lũ' Hùng, Michel L. Lapidus, Machiel van Frankenhuijsen

Publication date: 5 October 2015

Published in: Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.6440

zbMATH Keywords

Minkowski measurability\(p\)-adic analysisfractal stringslattice string

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) (zeta (s)) and (L(s, chi)) (11M06) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Other Dirichlet series and zeta functions (11M41) Fractals (28A80) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Non-Archimedean function theory (30G06) Continuous, (p)-adic and abstract analogues (11K41) Dynamical systems over non-Archimedean local ground fields (37P20) Non-Archimedean analysis (26E30) Alternative quantum mechanics (including hidden variables, etc.) (81Q65) Non-Archimedean analysis (32P05)

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