Level sets of the Takagi function: local level sets

DOI10.1007/S00605-012-0399-4zbMath1248.26008arXiv1009.0855OpenAlexW2060732645MaRDI QIDQ420579

Jeffrey C. Lagarias, Zachary Maddock

Publication date: 22 May 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.0855

zbMATH Keywords

singular functionHausdorff dimensionlevel setTakagi functioncoarea formulabinary expansion

Mathematics Subject Classification ID

Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Functions of bounded variation, generalizations (26A45)

Related Items (6)

Hausdorff dimension of level sets of generalized Takagi functions ⋮ SOME TOPOLOGICAL RESULTS ON LEVEL SETS AND MULTIFRACTAL SETS ⋮ Correction and strengthening of ``How large are the level sets of the Takagi function? ⋮ Level sets of signed Takagi functions ⋮ The Hausdorff dimension of the level sets of Takagi's function ⋮ Hausdorff dimension of local level sets of Takagi's function

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