Balanced pair algorithm for a class of cubic substitutions

Authors : Tarek SELLAMI

Pages : 91-102

Doi:10.3906/mat-1407-3

View : 9 | Download : 7

Publication Date : 0000-00-00

Article Type : Research Paper

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