Remarks on self-similarity

DOI10.1007/BF03167898zbMath0721.28006MaRDI QIDQ5752783

Yasunobu Shiota

Publication date: 1990

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

zbMATH Keywords

self-similarityfractalsself-similar setsweak contractionself-affine functionsgraph of the generalized Takagi function

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Fractals (28A80) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (2)

Contractive affine generalized iterated function systems which are topologically contracting ⋮ A generalization of Hata-Yamaguti's results on the Takagi function. II: Multinomial case

Cites Work

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• The Takagi function and its generalization
• On the structure of self-similar sets
• On self-affine functions
• A characterization of self-affine functions
• Hausdorff dimension of graphs of some Rademacher series
• On self-affine functions II

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