• Title of article

    Balanced pair algorithm for a class of cubic substitutions

  • Author/Authors

    SELLAMI, TAREK Montanuniversitat Leoben - Department of Mathematics and Statistics, Austria

  • From page
    91
  • To page
    102
  • 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
  • Journal title
    Turkish Journal of Mathematics
  • Journal title
    Turkish Journal of Mathematics
  • Record number

    2531533