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…

Papers overview

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2017

We work with attracting subshifts generated by substitutions which are also irreducible parageometric automorphisms of free…

2015

2014

There is a long tradition, going back to Hadamard and Morse, of associating symbolic infinite words with dynamical systems coming…

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…

2014

Este trabalho tem como objetivo o estudo dos Numeros de Fibonacci. Apresenta-se inicialmente um breve relato sobre a historia de…

2009

We say that two finite words $u$ and $v$ are abelian equivalent if and only if they have the same number of occurrences of each…

2008

We study the boundary of the $3$-dimensional Rauzy fractal ${\mathcal E} \subset \RR \times \CC$ generated by the polynomial $P(x…

2007

The aim of the project is to develop an objective and empirical methodology for the analysis of non-verbal information obtained…

2006

We divide infinite sequences of subword complexity 2n+1 into four subclasses with respect to left and right special elements and…

1993

In this paper we study a naive and incomplete algorithm for solving systems of non-linear constraints. These constraints are…