On the symmetric intersection of Rauzy fractals associated with the K-Bonacci substitution

  • Hamdi Ammar
  • Julien Cassaigne
  • Tarek Sellami
Keywords: Substitutions, k-bonacci, balanced pairs algorithm, fractal sets.

Abstract

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 dened over k(k+1) letters.

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Key words: Substitutions, k-bonacci, balanced pairs algorithm, fractal sets.

Published
2021-06-28
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606