On the symmetric intersection of Rauzy fractals associated with the k-bonacci substitution

In this article, we study the intersection of Rauzy fractals associated with the k-bonacci substitution and its reversed substitution. Applying the balanced pair algorithm to these two substitutions, we characterise all minimal balanced pairs, and we obtain a general formula for the associated inter...

Full description

Saved in:
Bibliographic Details
Published in:Quaestiones mathematicae 2021-02, Vol.44 (2), p.199-216
Main Authors: Ammar, Hamdi, Cassaigne, Julien, Sellami, Tarek
Format: Article
Language:English
Subjects:
Algorithms
balanced pairs algorithm
Dynamical Systems
fractal sets
Fractals
k-bonacci
Mathematics
Substitutes
Substitutions
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this article, we study the intersection of Rauzy fractals associated with the k-bonacci substitution and its reversed substitution. Applying the balanced pair algorithm to these two substitutions, we characterise all minimal balanced pairs, and we obtain a general formula for the associated intersection substitution. This substitution is defined over letters.
ISSN:1607-3606
1727-933X
DOI:10.2989/16073606.2019.1680455