Fréquences des facteurs des suites sturmiennes. - Valérie Berthé (Theor. Comput. Sci., 1996)

Tilings and rotations on the torus: a two-dimensional generalization of Sturmian sequences. - Valérie Berthé; Laurent Vuillon (Discret. Math., 2000)

Complexité et automates cellulaires linéaires. - Valérie Berthé (RAIRO Theor. Informatics Appl., 2000)

Tilings, Quasicrystals, Discrete Planes, Generalized Substitutions, and Multidimensional Continued Fractions. - Pierre Arnoux; Valérie Berthé; Hiromi Ei; Shunji Ito (DM-CCG, 2001)

Palindromes and Two-Dimensional Sturmian Sequences. - Valérie Berthé; Laurent Vuillon (J. Autom. Lang. Comb., 2001)

Balance properties of multi-dimensional words. - Valérie Berthé; Robert Tijdeman (Theor. Comput. Sci., 2002)

Two-dimensional iterated morphisms and discrete planes. - Pierre Arnoux; Valérie Berthé; Anne Siegel (Theor. Comput. Sci., 2004)

Lattices and multi-dimensional words. - Valérie Berthé; Robert Tijdeman (Theor. Comput. Sci., 2004)

Generalized Functionality for Arithmetic Discrete Planes. - Valérie Berthé; Christophe Fiorio; Damien Jamet (DGCI, 2005)

Abstract Numeration Systems and Tilings. - Valérie Berthé; Michel Rigo (MFCS, 2005)

Smooth words over arbitrary alphabets. - Valérie Berthé; Srecko Brlek; Philippe Choquette (Theor. Comput. Sci., 2005)

On substitution invariant Sturmian words: an application of Rauzy fractals. - Valérie Berthé; Hiromi Ei; Shunji Ito; Hui Rao (RAIRO Theor. Informatics Appl., 2007)

On some applications of generalized functionality for arithmetic discrete planes. - Valérie Berthé; Christophe Fiorio; Damien Jamet; Fabrice Philippe (Image Vis. Comput., 2007)

Odometers on Regular Languages. - Valérie Berthé; Michel Rigo (Theory Comput. Syst., 2007)

Functional stepped surfaces, flips, and generalized substitutions. - Pierre Arnoux; Valérie Berthé; Thomas Fernique; Damien Jamet (Theor. Comput. Sci., 2007)

Discrete rotations and symbolic dynamics. - Valérie Berthé; Bertrand Nouvel (Theor. Comput. Sci., 2007)

On an involution of Christoffel words and Sturmian morphisms. - Valérie Berthé; Aldo de Luca; Christophe Reutenauer (Eur. J. Comb., 2008)

Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations with restricted denominators. - Valérie Berthé; Hitoshi Nakada; Rie Natsui (Finite Fields Their Appl., 2008)

Preface to the special issue dedicated to combinatorics, automata and number theory. - Valérie Berthé; Pierre B. A. Lecomte; Michel Rigo (Theor. Comput. Sci., 2008)

Arithmetic Discrete Planes Are Quasicrystals. - Valérie Berthé (DGCI, 2009)

Diophantine Approximation, Ostrowski Numeration and the Double-Base Number System. - Valérie Berthé; Laurent Imbert (Discret. Math. Theor. Comput. Sci., 2009)

An Arithmetic and Combinatorial Approach to Three-Dimensional Discrete Lines. - Valérie Berthé; Sébastien Labbé 001 (DGCI, 2011)

Uniformly balanced words with linear complexity and prescribed letter frequencies - Valérie Berthé; Sébastien Labbé 001 (WORDS, 2011)

Substitutive Arnoux-Rauzy sequences have pure discrete spectrum - Valérie Berthé; Timo Jolivet; Anne Siegel (CoRR, 2011)

Brun expansions of stepped surfaces. - Valérie Berthé; Thomas Fernique (Discret. Math., 2011)

Multidimensional Euclidean Algorithms, Numeration and Substitutions. - Valérie Berthé (Integers, 2011)

About thin arithmetic discrete planes. - Valérie Berthé (Theor. Comput. Sci., 2011)

Numeration and discrete dynamical systems. - Valérie Berthé (Computing, 2012)

Selfdual substitutions in dimension one. - Valérie Berthé; Dirk Frettlöh; Víctor F. Sirvent (Eur. J. Comb., 2012)

Generating Discrete Planes with Substitutions. - Valérie Berthé; Jérémie Bourdon; Timo Jolivet; Anne Siegel (WORDS, 2013)

Convergence and Factor Complexity for the Arnoux-Rauzy-Poincaré Algorithm. - Valérie Berthé; Sébastien Labbé 001 (WORDS, 2013)

Critical Connectedness of Thin Arithmetical Discrete Planes. - Valérie Berthé; Damien Jamet; Timo Jolivet; Xavier Provençal (DGCI, 2013)

Multiple GCDs. probabilistic analysis of the plain algorithm. - Valérie Berthé; Jean Creusefond; Loïck Lhote; Brigitte Vallée (ISSAC, 2013)

Bifix codes in acyclic sets. - Valérie Berthé; Clelia de Felice; Francesco Dolce; Dominique Perrin; Christophe Reutenauer; Giuseppina Rindone (CoRR, 2013)

Return words in interval exchange transformations - Valérie Berthé; Clelia de Felice; Francesco Dolce; Dominique Perrin; Christophe Reutenauer; Giuseppina Rindone (CoRR, 2013)

Bifix codes and the finite index basis property - Valérie Berthé; Clelia de Felice; Francesco Dolce; Dominique Perrin; Christophe Reutenauer; Giuseppina Rindone (CoRR, 2013)

Balance Properties of Arnoux-Rauzy Words. - Valérie Berthé; Julien Cassaigne; Wolfgang Steiner (Int. J. Algebra Comput., 2013)

A study of Jacobi-Perron boundary words for the generation of discrete planes. - Valérie Berthé; Annie Lacasse; Geneviève Paquin; Xavier Provençal (Theor. Comput. Sci., 2013)

Fine costs for Euclid's algorithm on polynomials and Farey maps. - Valérie Berthé; Hitoshi Nakada; Rie Natsui; Brigitte Vallée (Adv. Appl. Math., 2014)

A combinatorial approach to products of Pisot substitutions. - Valérie Berthé; Jérémie Bourdon; Timo Jolivet; Anne Siegel (CoRR, 2014)

Factor Complexity of S-adic sequences generated by the Arnoux-Rauzy-Poincaré Algorithm. - Valérie Berthé; Sébastien Labbé 001 (CoRR, 2014)

Connectedness of fractals associated with Arnoux-Rauzy substitutions. - Valérie Berthé; Timo Jolivet; Anne Siegel (RAIRO Theor. Informatics Appl., 2014)

Specular Sets. - Valérie Berthé; Clelia De Felice; Vincent Delecroix; Francesco Dolce; Julien Leroy 002; Dominique Perrin; Christophe Reutenauer; Giuseppina Rindone (WORDS, 2015)

Recurrence Function on Sturmian Words: A Probabilistic Study. - Valérie Berthé; Eda Cesaratto; Pablo Rotondo; Brigitte Vallée; Alfredo Viola (MFCS (1), 2015)

Factor complexity of S-adic words generated by the Arnoux-Rauzy-Poincaré algorithm. - Valérie Berthé; Sébastien Labbé 001 (Adv. Appl. Math., 2015)

Maximal bifix decoding. - Valérie Berthé; Clelia de Felice; Francesco Dolce; Julien Leroy 002; Dominique Perrin; Christophe Reutenauer; Giuseppina Rindone (Discret. Math., 2015)

Effective S-adic Symbolic Dynamical Systems. - Valérie Berthé; Thomas Fernique; Mathieu Sablik (CiE, 2016)

Analysis of the Brun Gcd Algorithm. - Valérie Berthé; Loïck Lhote; Brigitte Vallée (ISSAC, 2016)

Probabilistic analyses of the plain multiple gcd algorithm. - Valérie Berthé; Loïck Lhote; Brigitte Vallée (J. Symb. Comput., 2016)

Rigidity and Substitutive Dendric Words. - Valérie Berthé; Francesco Dolce; Fabien Durand; Julien Leroy 002; Dominique Perrin (Int. J. Found. Comput. Sci., 2018)

The Brun gcd algorithm in high dimensions is almost always subtractive. - Valérie Berthé; Loïck Lhote; Brigitte Vallée (J. Symb. Comput., 2018)

Balancedness and coboundaries in symbolic systems. - Valérie Berthé; Paulina Cecchi Bernales (Theor. Comput. Sci., 2019)

Two Arithmetical Sources and Their Associated Tries. - Valérie Berthé; Eda Cesaratto; Frédéric Paccaut; Pablo Rotondo; Martín D. Safe; Brigitte Vallée (AofA, 2020)

On Decision Problems for Substitutions in Symbolic Dynamics. - Valérie Berthé (RP, 2020)

The carry propagation of the successor function. - Valérie Berthé; Christiane Frougny; Michel Rigo; Jacques Sakarovitch (Adv. Appl. Math., 2020)

Analysis of generalized continued fraction algorithms over polynomials. - Valérie Berthé; Hitoshi Nakada; Rie Natsui; Brigitte Vallée (Finite Fields Their Appl., 2021)

On the second Lyapunov exponent of some multidimensional continued fraction algorithms. - Valérie Berthé; Wolfgang Steiner; Jörg M. Thuswaldner (Math. Comput., 2021)

On Substitutions Preserving Their Return Sets. - Valérie Berthé; Herman Goulet-Ouellet (WORDS, 2023)

Recurrence and Frequencies. - Valérie Berthé; Ahmed Mimouni (WORDS, 2023)

The Monadic Theory of Toric Words. - Valérie Berthé; Toghrul Karimov; Joël Ouaknine; Mihir Vahanwala; James Worrell 001 (CoRR, 2023)

On the Decidability of Monadic Second-Order Logic with Arithmetic Predicates. - Valérie Berthé; Toghrul Karimov; Joris Nieuwveld; Joël Ouaknine; Mihir Vahanwala; James Worrell 001 (LICS, 2024)

SimPFair: tight fairness at low cost. - Enrico Bini; Valérie Berthé (RTNS, 2024)

Density of group languages in shift spaces. - Valérie Berthé; Herman Goulet-Ouellet; Carl-Fredrik Nyberg-Brodda; Dominique Perrin; Karl Petersen (CoRR, 2024)

Obstructions to Return Preservation for Episturmian Morphisms. - Valérie Berthé; Herman Goulet-Ouellet (Theory Comput. Syst., 2024)

Density of Rational Languages Under Shift Invariant Measures. - Valérie Berthé; Herman Goulet-Ouellet; Dominique Perrin (ICALP, 2025)

On the rigidity of Arnoux-Rauzy words. - Valérie Berthé; Svetlana Puzynina (Adv. Appl. Math., 2025)

The monadic theory of toric words. - Valérie Berthé; Toghrul Karimov; Joris Nieuwveld; Joël Ouaknine; Mihir Vahanwala; James Worrell 001 (Theor. Comput. Sci., 2025)

Automata on S-adic words. - Valérie Berthé; Toghrul Karimov; Mihir Vahanwala (CoRR, 2025)