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- Xavier Droubay, Jacques Justin, Giuseppe Pirillo
- Theor. Comput. Sci.
- 2001

- Jacques Justin, Giuseppe Pirillo
- Theor. Comput. Sci.
- 2002

- Jacques Justin
- ITA
- 2005

We associate with a word w on a finite alphabet A an episturmian (or Arnoux-Rauzy) morphism and a palindrome. We study their relations with the similar ones for the reversal of w. Then when |A| = 2 we deduce, using the Sturmian words that are the fixed points of the two morphisms, a proof of a Galois theorem on purely periodic continued fractions whose… (More)

- Jacques Justin, Laurent Vuillon
- ITA
- 2000

Considering each occurrence of a word w in a recurrent infinite word, we define the set of return words of w to be the set of all distinct words beginning with an occurrence of w and ending exactly just before the next occurrence of w in the infinite word. We give a simpler proof of the recent result (of the second author) that an infinite word is Sturmian… (More)

- Raffaella Guida, Jacques Justin, Energie Atomique
- 1998

Recently the series for two RG functions (corresponding to the anomalous dimensions of the fields φ and φ) of the 3D φ field theory have been extended to next order (seven loops) by Murray and Nickel. We examine here the influence of these additional terms on the estimates of critical exponents of the N -vector model, using some new ideas in the context of… (More)

- Amy Glen, Jacques Justin, Steve Widmer, Luca Q. Zamboni
- Eur. J. Comb.
- 2009

In this paper, we study combinatorial and structural properties of a new class of finite and infinite words that are ‘rich’ in palindromes in the utmost sense. A characteristic property of so-called rich words is that all complete returns to any palindromic factor are themselves palindromes. These words encompass the well-known episturmian words, originally… (More)

- Jacques Justin, Giuseppe Pirillo
- Int. J. Found. Comput. Sci.
- 2004

- B . Eynard, Jacques Justin
- 1993

We discuss the large order behaviour and Borel summability of the topological expansion of models of 2D gravity coupled to general (p, q) conformal matter. In a previous work it was proven that at large order k the string susceptibility had a generic akΓ(2k− 12) behaviour. Moreover the constant a, relevant for the problem of Borel summability, was… (More)

- Amy Glen, Jacques Justin
- ITA
- 2009

In this paper, we survey the rich theory of infinite episturmian words which generalize to any finite alphabet, in a rather resembling way, the well-known family of Sturmian words on two letters. After recalling definitions and basic properties, we consider episturmian morphisms that allow for a deeper study of these words. Some properties of factors are… (More)