scientific article

zbMath1062.28007MaRDI QIDQ3154459

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Publication date: 14 January 2005

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zbMATH Keywords

entropyhistoryself-similarityHausdorff dimensionfractal dimensionfractalsfractional dimensionself-affine curves

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractals (28A80) Collected or selected works; reprintings or translations of classics (01A75) History of mathematics in the 19th century (01A55) Hausdorff and packing measures (28A78) Collections of translated articles of miscellaneous specific interest (00B55) History of measure and integration (28-03) Collections of reprinted articles (00B60)

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No-where averagely differentiable functions: Baire category and the Takagi function ⋮ Multifractal behavior of polynomial Fourier series ⋮ Finite-state dimension and real arithmetic ⋮ Doubly paradoxical functions of one variable ⋮ Automata, Borel functions and real numbers in Pisot base ⋮ Peano on derivative of measures: strict derivative of distributive set functions ⋮ Fractals as objects with nontrivial structures at all scales ⋮ Dimension extractors and optimal decompression ⋮ The Proto-Lorenz System in Its Chaotic Fractional and Fractal Structure ⋮ ARC-FRACTAL AND THE DYNAMICS OF COASTAL MORPHOLOGY ⋮ Felix Hausdorff: ``We wish for you better times

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