Level sets of the Takagi function: generic level sets

DOI10.1512/iumj.2011.60.4554zbMath1263.26020arXiv1011.3183OpenAlexW2050162182MaRDI QIDQ4905821

Jeffrey C. Lagarias, Zachary Maddock

Publication date: 21 February 2013

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.3183

zbMATH Keywords

Hausdorff dimensionlevel setsingular measureTakagi function

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Integration with respect to measures and other set functions (28A25) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Functions of bounded variation, generalizations (26A45)

Related Items (8)

Hausdorff dimension of level sets of generalized Takagi functions ⋮ Level sets of the Takagi function: local level sets ⋮ The finite cardinalities of level sets of the Takagi function ⋮ Level sets of signed Takagi functions ⋮ On the level sets of the Takagi-van der Waerden functions ⋮ The Hausdorff dimension of the level sets of Takagi's function ⋮ How large are the level sets of the Takagi function? ⋮ Hausdorff dimension of local level sets of Takagi's function

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