A TUBE FORMULA FOR THE KOCH SNOWFLAKE CURVE, WITH APPLICATIONS TO COMPLEX DIMENSIONS

DOI10.1112/S0024610706022988zbMath1110.26006arXivmath-ph/0412029OpenAlexW2162388724MaRDI QIDQ3419081

Michel L. Lapidus, Erin P. J. Pearse

Publication date: 6 February 2007

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0412029

zbMATH Keywords

self-similarity tube formula

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Singular functions, Cantor functions, functions with other special properties (26A30) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Length, area, volume, other geometric measure theory (28A75) Fractals (28A80) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

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