# 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…
Wikipedia (opens in a new tab)

## Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2020
2020
• Electronic Journal of Combinatorics
• 2020
• Corpus ID: 198147691
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
• Electron. J. Comb.
• 2015
• Corpus ID: 6979606
Motivated by a conjecture of Frid, Puzynina, and Zamboni, we investigate infinite words with the property that for infinitely…
2014
2014
• 2014
• Corpus ID: 121169635
There is a long tradition, going back to Hadamard and Morse, of associating symbolic infinite words with dynamical systems coming…
2014
2014
• 2014
• Corpus ID: 117181164
Abstract In this article we study symmetric subsets of Rauzy fractals of unimodular irreducible Pisot substitutions. The symmetry…
2013
2013
2013
2013
• ArXiv
• 2013
• Corpus ID: 10366611
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…