A probabilistic property of Katsuura's continuous nowhere differentiable function

DOI10.1016/j.jmaa.2008.11.073zbMath1167.26002OpenAlexW2093565454MaRDI QIDQ1014682

Thomas M. Lewis

Publication date: 29 April 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.11.073

zbMATH Keywords

occupation measurecontinuous nowhere differentiable functionsKatsuura's function

Mathematics Subject Classification ID

Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Absolutely continuous real functions in one variable (26A46)

Related Items (1)

A Hölder continuous nowhere improvable function with derivative singular distribution

Cites Work

• On generalized Takagi functions
• On probabilistic properties of Takagi's function
• The Realization of small Distances in Plane Sets of Positive Measure
• On self-affine functions
• A characterization of self-affine functions
• Continuous Nowhere-Differentiable Functions--an Application of Contraction Mappings
• On self-affine functions II
• A class of deterministic self-affine processes
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