Box dimension for graphs of fractal functions

DOI10.1017/S0013091500023774zbMath0886.28007MaRDI QIDQ4348555

Qinghe Yin, Gavin Brown

Publication date: 23 April 1998

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

hyperbolic iterated function systembox-dimensionfractal graph functionHIFShyperbolic IFSMarkov attractor of an IFS

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Fractals (28A80)

Cites Work

• The exact Hausdorff dimension for a class of fractal functions
• The box dimension of self-affine graphs and repellers
• Bounded distortion and dimension for non-conformal repellers
• Continuous Functions without Derivatives

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