- Turkish Journal of Mathematics
- Vol: 39 Issue: 1
- Balanced pair algorithm for a class of cubic substitutions
Balanced pair algorithm for a class of cubic substitutions
Authors : Tarek Sellami
Pages : 91-102
Doi:10.3906/mat-1407-3
View : 8 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
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 x3 - ax2 - 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