Parametrizability of infinitely generated attractors

Kirjoittajat

  • 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

Avainsanat:

Hölder curves, parameterization, infinite iterated function systems

Abstrakti

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.
Numero
Vol 49 Nro 1 (2024)
Osasto
Articles

Julkaistu

2024-02-14

Viittaaminen

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

Copyright (c) 2024 Annales Fennici Mathematici

Creative Commons License

Tämä työ on lisensoitu Creative Commons Nimeä-EiKaupallinen 4.0 Kansainvälinen Julkinen -lisenssillä.