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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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2019
2019
Number the cells of a (possibly infinite) chessboard in some way with the numbers $0, 1, 2, \ldots$. Consider the cells in order… 
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… 
2017
2017
We work with attracting subshifts generated by substitutions which are also irreducible parageometric automorphisms of free… 
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… 
2014
2014
In this paper, we study a class of Rauzy fractals ${\mathcal R}_a$ given by the polynomial $x^3- ax^2+x-1$ where $a \geq 2$ is an… 
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… 
2013
2013
According to a result of Richomme, Saari and Zamboni, the abelian complexity of the Tribonacci word satisfies $\rho^{\mathrm{ab… 
2007
2007
The aim of the project is to develop an objective and empirical methodology for the analysis of non-verbal information obtained… 
1993
1993
In this paper we study a naive and incomplete algorithm for solving systems of non-linear constraints. These constraints are…