On self-affine functions II

DOI10.1007/BF03167911zbMath0685.26008OpenAlexW2033043256MaRDI QIDQ4735359

Norio Kono

Publication date: 1988

Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167911

zbMATH Keywords

space filling curvesself-affine functionsmeasure absolutely continuous with respect to Lebesgue measure

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Length, area, volume, other geometric measure theory (28A75) Iteration of real functions in one variable (26A18) Continuity and singularity of induced measures (60G30) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (13)

Nowhere differentiable functions constructed from probabilistic point of view ⋮ Dimensions of the coordinate functions of space-filling curves ⋮ A generalization of Hata-Yamaguti's results on the Takagi function. II: Multinomial case ⋮ Copulae, self-affine functions, and fractal dimensions ⋮ The exact Hausdorff dimension for a class of fractal functions ⋮ Hausdorff dimension of the level sets for self-affine functions ⋮ Remarks on self-similarity ⋮ The \(n\)-dimensional Peano curve ⋮ On Weierstrass-like functions and random recurrent sets ⋮ A probabilistic property of Katsuura's continuous nowhere differentiable function ⋮ The probability distribution and Hausdorff dimension of self-affine functions ⋮ Extended Itô integrals and the reflection problem ⋮ Copulas and Self-affine Functions

Cites Work

• On self-affine functions
• A characterization of self-affine functions
• Sur la mesure d’Occupation d’une classe de fonctions self-affines
• Products of Random Matrices

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