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2020

2020

Number the cells of a (possibly infinite) chessboard in some way with the numbers 0, 1, 2, ... Consider the cells in order… Expand

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2015

2015

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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2014

2014

Abstract In this article we study symmetric subsets of Rauzy fractals of unimodular irreducible Pisot substitutions. The symmetry… Expand

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2014

2014

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

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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… 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

We study aperiodic and periodic tilings induced by the Rauzy fractal and its subtiles associated with beta-substitutions related… Expand

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1997

1997

Let (Nn,(+1)n) be the adic system associated to the substitution: 1 → 12,…,(n − 1) → 1n, n → 1. In Sirvent (1996) it was shown… 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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Highly Cited

1994

Highly Cited

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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