Self-similarity

DOI10.1216/RMJM/1181072539zbMath0806.58033OpenAlexW4237205815MaRDI QIDQ1316328

Gary B. Lewellen

Publication date: 16 February 1995

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072539

zbMATH Keywords

contractionself-similarityaddressing

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Euclidean geometries (general) and generalizations (51M05)

Related Items (8)

Euclidean self-similar sets generated by geometrically independent sets ⋮ On weakly hyperbolic iterated function systems ⋮ The Hutchinson–Barnsley theory for generalized iterated function systems by means of infinite iterated function systems ⋮ Generalized iterated function systems with place dependent probabilities ⋮ Contractive iterated function systems enriched with nonexpansive maps ⋮ Hausdorff and packing measure functions of self-similar sets: continuity and measurability ⋮ A generalization of IFS with probabilities to infinitely many maps ⋮ Invariant (fractal) vector measures as fixed points of Markov-type operators

Cites Work

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• On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling
• Iterated function systems and the global construction of fractals
• On the structure of self-similar sets
• Composition of contractions

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