The Hausdorff Dimension of the Graphs of Continuous Self-Affine Functions
From MaRDI portal
Publication:5752781
DOI10.2307/2047947zbMath0721.28004OpenAlexW4234798493MaRDI QIDQ5752781
Publication date: 1990
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2047947
Singular functions, Cantor functions, functions with other special properties (26A30) Fractals (28A80) Hausdorff and packing measures (28A78) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)
Related Items
A variational formula for dimension spectra of linear cellular automata ⋮ Dimensions of the coordinate functions of space-filling curves ⋮ Hausdorff dimension of the limit sets of some planar geometric constructions ⋮ On classification of singular measures and fractal properties of quasi-self-affine measures in R 2 ⋮ Hausdorff dimensions of sofic affine-invariant sets ⋮ Lower bounds for the Hausdorff dimension of \(n\)-dimensional self-affine sets ⋮ The self-affine carpets of McMullen and Bedford have infinite Hausdorff measure ⋮ FRACTAL DIMENSION VARIATION OF CONTINUOUS FUNCTIONS UNDER CERTAIN OPERATIONS ⋮ The graph and range singularity spectra of \(b\)-adic independent cascade functions ⋮ Moments and associated measures of copulas with fractal support ⋮ Copulas and associated fractal sets ⋮ Measure-preserving functions and the independence copula ⋮ Vector-valued fractal interpolation functions and their box dimensions ⋮ Copulae, self-affine functions, and fractal dimensions ⋮ The \(n\)-dimensional Peano curve ⋮ SUBSETS OF THE GENERAL SIERPINSKI CARPET WITH MIXED GROUP FREQUENCIES ⋮ Copulas and Self-affine Functions
