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Rauzy fractal

Known as: Tribonacci word 
In mathematics, the Rauzy fractal is a fractal set associated to the Tribonacci substitution It has been studied in 1981 by Gérard Rauzy, with the… 
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Papers overview

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2020
2020
Number the cells of a (possibly infinite) chessboard in some way with the numbers $0, 1, 2, \ldots$. Consider the cells in order… 
2015
2015
According to a result of Richomme, Saari and Zamboni, the abelian complexity of the Tribonacci word satisfies $\rho^{\mathrm{ab… 
2015
2015
Motivated by a conjecture of Frid, Puzynina, and Zamboni, we investigate infinite words with the property that for infinitely… 
2014
2014
There is a long tradition, going back to Hadamard and Morse, of associating symbolic infinite words with dynamical systems coming… 
2014
2014
Abstract In this article we study symmetric subsets of Rauzy fractals of unimodular irreducible Pisot substitutions. The symmetry… 
2013
2013
2013
2013
We prove that every free group of finite rank can be realized as the fundamental group of a planar Rauzy fractal associated with… 
Review
2002
Review
2002
  • J. Berstel
  • Int. J. Algebra Comput.
  • 2002
  • Corpus ID: 1656191
Sturmian words are infinite words over a two-letter alphabet that admit a great number of equivalent definitions. Most of them… 
1991
1991
In this paper we study a naive and incomplete algorithm for solving systems of non-linear constraints. These constraints are…