Balanced pair algorithm for a class of cubic substitutions

Authors

TAREK SELLAMI

DOI

10.3906/mat-1407-3

Abstract

In this article we introduce the balanced pair algorithm associated with 2 unimodular Pisot substitutions having the same incidence matrix. We are interested in beta-substitution related to the polynomial x^3 - ax^2 - bx-1 for a \geq b \geq 1. Applying the balanced pair algorithm to these substitutions, we obtain a general formula for the associated intersection substitution.

Keywords

Rauzy fractals, substitution dynamical systems, balanced pair algorithm The author was supported by project I 11 36 funded by the Austrian Science Fund

First Page

91

Last Page

102

Recommended Citation

SELLAMI, TAREK (2015) "Balanced pair algorithm for a class of cubic substitutions," Turkish Journal of Mathematics: Vol. 39: No. 1, Article 9. https://doi.org/10.3906/mat-1407-3
Available at: https://journals.tubitak.gov.tr/math/vol39/iss1/9