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Abstract We prove that if a self-affine arc γ ∈ R 2 \gamma \in {{\mathbb{R}}}^{2} does not satisfy weak separation condition, then it is a segment of a parabola or… Click to show full abstract
Abstract We prove that if a self-affine arc γ ∈ R 2 \gamma \in {{\mathbb{R}}}^{2} does not satisfy weak separation condition, then it is a segment of a parabola or a straight line. If a self-affine arc γ \gamma is not a segment of a parabola or a line, then it is a component of the attractor of a Jordan multizipper with the same set of generators.
Keywords:
jordan;
structure self;
jordan arcs;
self affine;
affine jordan
Journal Title: Demonstratio Mathematica
Year Published: 2023
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Journal Title: Demonstratio Mathematica
Year Published: 2023
Link to full text (if available)
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recommendations!