Computability of Self-Similar Sets

DOI10.1002/malq.19990450103zbMath0924.03110OpenAlexW2142005825MaRDI QIDQ4238423

Kiko Kawamura, Hiroyasu Kamo

Publication date: 8 November 1999

Published in: Mathematical Logic Quarterly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/malq.19990450103

zbMATH Keywords

computabilityfractalself-similar setcomputable contractionscontractions in a metric space

Mathematics Subject Classification ID

Constructive and recursive analysis (03F60) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Fractals (28A80) Applications of computability and recursion theory (03D80)

Related Items (2)

Dimensions of Points in Self-similar Fractals ⋮ Algorithmic Fractal Dimensions in Geometric Measure Theory

Cites Work

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• Type 2 recursion theory
• Computing with infinite objects
• Computability on computable metric spaces
• On the structure of self-similar sets
• On the structure of self-similar fractals
• Composition of contractions
• A continuous real-valued function on $E^n$ almost everywhere 1-1
• Recursive Real Numbers

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