Geodesic
Parametrizability of infinitely generated attractors
Eve Shaw1 ; Vyron Vellis1
1The University of Tennessee, Department of Mathematics
Annales Fennici Mathematici, Tome 49 (2024) no. 1, p. 81–97

Voir la notice de l'article provenant de la source Journal.fi

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.
DOI : 10.54330/afm.143314
Keywords: Hölder curves, parameterization, infinite iterated function systems

Eve Shaw  1   ; Vyron Vellis  1

1 The University of Tennessee, Department of Mathematics 
Eve Shaw; Vyron Vellis. Parametrizability of infinitely generated attractors. Annales Fennici Mathematici, Tome 49 (2024) no. 1, p. 81–97. doi: 10.54330/afm.143314
@article{AFM_2024_49_1_a4,
     author = {Eve Shaw and Vyron Vellis},
     title = {Parametrizability of infinitely generated attractors},
     journal = {Annales Fennici Mathematici},
     pages = {81{\textendash}97--81{\textendash}97},
     year = {2024},
     volume = {49},
     number = {1},
     doi = {10.54330/afm.143314},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.54330/afm.143314/}
}
TY  - JOUR
AU  - Eve Shaw
AU  - Vyron Vellis
TI  - Parametrizability of infinitely generated attractors
JO  - Annales Fennici Mathematici
PY  - 2024
SP  - 81–97
EP  - 81–97
VL  - 49
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.54330/afm.143314/
DO  - 10.54330/afm.143314
LA  - en
ID  - AFM_2024_49_1_a4
ER  - 
%0 Journal Article
%A Eve Shaw
%A Vyron Vellis
%T Parametrizability of infinitely generated attractors
%J Annales Fennici Mathematici
%D 2024
%P 81–97-81–97
%V 49
%N 1
%U http://geodesic.mathdoc.fr/articles/10.54330/afm.143314/
%R 10.54330/afm.143314
%G en
%F AFM_2024_49_1_a4

Cité par Sources :