Parametrizability of infinitely generated attractors
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Published:2024-02-14
Issue:1
Volume:49
Page:
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ISSN:2737-114X
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Container-title:Annales Fennici Mathematici
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language:
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Short-container-title:Ann. Fenn. Math.
Author:
Shaw Eve,Vellis Vyron
Abstract
An infinite iterated function system (IIFS) is a countable collection of contraction maps on a compact metric space. In this paper we study the conditions under which the attractor of such a system admits a parameterization by a continuous or Hölder continuous map of the unit interval.
Publisher
Finnish Mathematical Society