Parametrizability of infinitely generated attractors

Authors

  • Eve Shaw The University of Tennessee, Department of Mathematics
  • Vyron Vellis The University of Tennessee, Department of Mathematics

DOI:

https://doi.org/10.54330/afm.143314

Keywords:

Hölder curves, parameterization, infinite iterated function systems

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.

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Published

2024-02-14

Issue

Vol. 49 No. 1 (2024)

Section

Articles

License

Copyright (c) 2024 Annales Fennici Mathematici

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Shaw, E., & Vellis, V. (2024). Parametrizability of infinitely generated attractors. Annales Fennici Mathematici, 49(1), 81–97. https://doi.org/10.54330/afm.143314