A closed graph theorem for hyperbolic iterated function systems (Q6172323)
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scientific article; zbMATH DE number 7714300
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A closed graph theorem for hyperbolic iterated function systems |
scientific article; zbMATH DE number 7714300 |
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A closed graph theorem for hyperbolic iterated function systems (English)
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19 July 2023
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Summary: In this note, we introduce the notion of a morphism between two hyperbolic iterated function systems. We prove that the graph of such a morphism is the attractor of an iterated function system, giving a closed graph theorem, and demonstrate how it can be used to approach the topological conjugacy problem for iterated function systems.
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iterated function system
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closed graph theorem
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hyperbolic
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fractal
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morphism
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conjugacy
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