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Turkish Journal of Mathematics

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.

First Page

91

Last Page

102

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Mathematics Commons

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