Level sets of the Takagi function: Hausdorff dimension

DOI10.1007/s00605-009-0109-zzbMath1205.28003OpenAlexW2059464913WikidataQ60691947 ScholiaQ60691947MaRDI QIDQ971922

Zachary Maddock

Publication date: 17 May 2010

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

Full work available at URL: https://doi.org/10.1007/s00605-009-0109-z

zbMATH Keywords

self-similarityHausdorff dimensionlevel setmulti-scale analysisMinkowski dimensionTakagi functionsubmultiplicativity

Mathematics Subject Classification ID

Hausdorff and packing measures (28A78) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (10)

Hausdorff dimension of level sets of generalized Takagi functions ⋮ Singular functions with applications to fractal dimensions and generalized Takagi functions ⋮ The Takagi function: a survey ⋮ 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 ⋮ An inequality for sums of binary digits, with application to Takagi 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

Uses Software

• OEIS

Cites Work

• Unnamed Item
• Unnamed Item
• Level sets of \(\beta\)-expansions
• Hausdorff dimension of leve l sets of some Rademacher series
• On Maxima of Takagi-van der Waerden Functions
• Smooth Interpolation, Holder Continuity, and the Takagi-van der Waerden Function
• A Sequence of (± 1)-Determinants with Large Values
• Extreme values of some continuous nowhere differentiable functions
• On a problem in additive number theory

This page was built for publication: Level sets of the Takagi function: Hausdorff dimension