Level sets of signed Takagi functions

DOI10.1007/S10474-013-0332-XzbMath1313.26008arXiv1209.6120OpenAlexW2049724044MaRDI QIDQ485543

Pieter C. Allaart

Publication date: 9 January 2015

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.6120

zbMATH Keywords

Catalan numberlevel setBaire categoryTakagi functionlocal level setnowhere-differentiable functionsigned Takagi function

Mathematics Subject Classification ID

Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (3)

Hausdorff dimension of level sets of generalized Takagi functions ⋮ Correction and strengthening of ``How large are the level sets of the Takagi function? ⋮ On univoque and strongly univoque sets

Cites Work

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• The Takagi function: a survey
• Level sets of the Takagi function: local level sets
• The Hausdorff dimension of the level sets of Takagi's function
• On generalized Takagi functions
• The finite cardinalities of level sets of the Takagi function
• How large are the level sets of the Takagi function?
• Sur l'exemple, donné par M. de Rham, d'une fonction continue sans dérivée
• Level sets of the Takagi function: Hausdorff dimension
• Distribution of the maxima of random Takagi functions
• Irregular \(1\)-sets on the graphs of continuous functions
• On level sets of a continuous nowhere monotone function
• On Maxima of Takagi-van der Waerden Functions
• Van Der Waerden's Continuous Nowhere Differentiable Function
• Level sets of the Takagi function: generic level sets
• The Takagi Function and Its Properties

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