Hausdorff dimension of graphs of some Rademacher series

DOI10.1007/BF03167894zbMath0741.28005MaRDI QIDQ4711072

Yasunobu Shiota, Takeshi Sekiguchi

Publication date: 25 June 1992

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

zbMATH Keywords

graphfunctional equationHausdorff dimensionpacking dimensionRademacher seriesRademacher functionscale parameterLebesgue's singular functionself-affine function

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (2)

Weierstrass functions with random phases ⋮ Remarks on self-similarity

Cites Work

• Hausdorff dimension of leve l sets of some Rademacher series
• On the Hausdorff dimension of some fractal sets
• Arithmetic Properties of Bernoulli Convolutions
• Packing Measure, and its Evaluation for a Brownian Path
• The Takagi function and its generalization
• On self-affine functions
• On Some Singular Monotonic Functions Which Are Strictly Increasing
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