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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… Expand
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Papers overview

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2019
2019
We modify Wythoff's game by allowing an additional move. The $P$-positions in our game can be derived from the table of letter… Expand
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2014
2014
AbstractIn this article we study symmetric subsets of Rauzy fractals of unimodular irreducible Pisot substitutions. The symmetry… Expand
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2013
2013
This paper deals with balances and imbalances in Arnoux–Rauzy words. We provide sufficient conditions for C-balancedness, but our… Expand
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2013
2013
We propose a technique for exploring the abelian complexity of recurrent infinite words, focusing particularly on infinite words… Expand
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2013
2013
According to a result of Richomme, Saari and Zamboni, the abelian complexity of the Tribonacci word satisfies $\rho^{\mathrm{ab… Expand
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2011
2011
We prove that the symbolic dynamical system generated by a purely substitutive Arnoux-Rauzy sequence is measurably conjugate to a… Expand
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2008
2008
We propose a variation of Wythoff's game on three piles of tokens, in the sense that the losing positions can be derived from the… Expand
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1996
1996
Abstract In this paper we study some relationships between the dynamical systems that arise from the family of substitutions: 1… Expand
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1994
1994
— We prove a conjecture of Gérard Rauzy related to the structure of billiard trajectories in the cube : let us associate to any… Expand
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1991
1991
In this paper we study a naive and incomplete algorithm for solving systems of non-linear constraints. These constraints are… Expand
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