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Author ID: berthe.valerie Recent zbMATH articles by "Berthé, Valérie"
Published as: Berthé, Valérie; Berthé, V.; Berthé, Valerie; Berthe, Valerie; Berthe, Valérie
Homepage: https://www.irif.fr/~berthe/
External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr
Member of Collectives: Fogg, N. Pytheas; Lothaire, M.
all top 5

Co-Authors

19 single-authored
13 Perrin, Dominique
13 Siegel, Anne
9 Dolce, Francesco
9 Reutenauer, Christophe
9 Rigo, Michel
8 Leroy, Julien
8 Rindone, Giuseppina
8 Steiner, Wolfgang
8 Thuswaldner, Jörg Maximilian
8 Vallée, Brigitte
7 De Felice, Clelia
6 Arnoux, Pierre
5 Jolivet, Timo
5 Nakada, Hitoshi
4 Delecroix, Vincent
4 Jamet, Damien
4 Labbé, Sébastien
4 Lhote, Loïck
4 Natsui, Rie
4 Yassawi, Reem
3 Cecchi Bernales, Paulina
3 Cesaratto, Eda
3 Ferenczi, Sébastien
3 Fernique, Thomas
3 Goulet-Ouellet, Herman
3 Ito, Shunji
3 Provençal, Xavier
3 Rotondo, Pablo
3 Vuillon, Laurent
2 Akiyama, Shigeki
2 Allouche, Jean-Paul Simon
2 Barat, Guy
2 Bourdon, Jérémie
2 Brlek, Srečko
2 Choquette, Philippe
2 Durand, Fabien
2 Ei, Hiromi
2 Safe, Martín Darío
2 Shallit, Jeffrey Outlaw
2 Tijdeman, Robert
2 Zamboni, Luca Quardo
1 Alessandri, Pascal
1 Barge, Marcy M.
1 Béal, Marie-Pierre
1 Berstel, Jean
1 Besse, Philippe C.
1 Beukers, Frits
1 Bryyère, Véronique
1 Carton, Olivier
1 Cassaigne, Julien
1 Chekhova, Nataliya
1 Chevallier, Nicolas
1 Clark, Alex
1 Creusefond, Jean
1 Crochemore, Maxime
1 Dajani, Karma
1 Damanik, David
1 de Luca, Aldo
1 Dehornoy, Patrick
1 Domenjoud, Eric
1 Fiorio, Christophe
1 Fogg, N. Pytheas
1 Fokkink, Robbert Johan
1 Frettlöh, Dirk
1 Frougny, Christiane
1 Hilion, Arnaud
1 Holton, Charles G.
1 Imbert, Laurent
1 Jacquet, Philippe
1 Kalle, Charlene
1 Karhumaki, Juhani
1 Kim, Donghan
1 Kolpakov, Roman M.
1 Koucherov, Gregory
1 Kraaikamp, Cor
1 Krawczyk, Ela
1 Kuru, Hamide
1 Lacasse, Annie
1 Laporte, Éric
1 Lebœuf, Patricio
1 Lecomte, Pierre B. A.
1 Lee, Jeong-Yup
1 Lee, Jungwon
1 Lenz, Daniel H.
1 Liardet, Pierre
1 Lothaire, M.
1 Masáková, Zuzana
1 Massot, Marc
1 Mauduit, Christian
1 Métivier, Guy
1 Mimouni, Ahmed
1 Minervino, Milton
1 Mohri, Mehryar
1 Nouvel, Bertrand
1 Nowotka, Dirk
1 Nyberg-Brodda, Carl-Fredrik
1 Paccaut, Frédéric
1 Paquin, Geneviève
1 Patras, Frédéric
1 Pelantová, Edita
...and 18 more Co-Authors
all top 5

Serials

12 Theoretical Computer Science
4 Annales de l’Institut Fourier
4 Monatshefte für Mathematik
3 Discrete Mathematics
3 Acta Arithmetica
3 Advances in Applied Mathematics
3 Ergodic Theory and Dynamical Systems
3 Bulletin of the Belgian Mathematical Society - Simon Stevin
3 Integers
3 Encyclopedia of Mathematics and Its Applications
3 RIMS Kôkyûroku Bessatsu
2 Journal of Number Theory
2 Journal of Pure and Applied Algebra
2 European Journal of Combinatorics
2 Journal of Symbolic Computation
2 Indagationes Mathematicae. New Series
2 Journal de Théorie des Nombres de Bordeaux
2 Finite Fields and their Applications
2 RAIRO. Theoretical Informatics and Applications
2 Oberwolfach Reports
1 Journal d’Analyse Mathématique
1 Mathematics of Computation
1 Advances in Mathematics
1 Computing
1 Transactions of the American Mathematical Society
1 Topology and its Applications
1 International Journal of Algebra and Computation
1 International Journal of Foundations of Computer Science
1 L’Enseignement Mathématique. 2e Série
1 Journal of Physics A: Mathematical and General
1 Expositiones Mathematicae
1 Congressus Numerantium
1 Theory of Computing Systems
1 Journal of Automata, Languages and Combinatorics
1 Discrete Mathematics and Theoretical Computer Science. DMTCS
1 Journal of Integer Sequences
1 Journal of the European Mathematical Society (JEMS)
1 Lecture Notes in Mathematics
1 Uniform Distribution Theory
1 Matapli
1 RAIRO. Theoretical Informatics and Applications
1 Actes des Rencontres du C.I.R.M.
1 Trends in Mathematics

Publications by Year

Citations contained in zbMATH Open

92 Publications have been cited 1,504 times in 876 Documents Cited by Year
Substitutions in dynamics, arithmetics and combinatorics. Zbl 1014.11015
392
2002
Applied combinatorics on words. A collective work by Jean Berstel, Dominique Perrin, Maxime Crochemore, Eric Laporte, Mehryar Mohri, Nadia Pisanti, Marie-France Sagot, Gesine Reinert, Sophie Schbath, Michael Waterman, Philippe Jacquet, Wojciech Szpankowski, Dominique Poulalhon, Gilles Schaeffer, Roman Kolpakov, Gregory Koucherov, Jean-Paul Allouche and Valérie Berthé. With a preface by Berstel and Perrin. Zbl 1133.68067
Lothaire, M.
149
2005
Combinatorics, automata, and number theory. Zbl 1197.68006
83
2010
Three distance theorems and combinatorics on words. Zbl 0997.11051
Alessandri, Pascal; Berthé, Valérie
57
1998
Tilings and rotations on the torus: A two-dimensional generalization of Sturmian sequences. Zbl 0970.68124
Berthé, Valérie; Vuillon, Laurent
50
2000
Beyond substitutive dynamical systems: \(S\)-adic expansions. Zbl 1376.37033
Berthé, Valérie; Delecroix, Vincent
42
2014
On the Pisot substitution conjecture. Zbl 1376.37043
Akiyama, S.; Barge, M.; Berthé, V.; Lee, J.-Y.; Siegel, A.
39
2015
Tilings associated with beta-numeration and substitutions. Zbl 1139.37008
Berthé, Valérie; Siegel, Anne
38
2005
Initial powers of Sturmian sequences. Zbl 1117.37005
Berthé, Valérie; Holton, Charles; Zamboni, Luca Q.
37
2006
Dynamical directions in numeration. Zbl 1138.37005
Barat, Guy; Berthé, Valérie; Liardet, Pierre; Thuswaldner, Jörg
33
2006
Acyclic, connected and tree sets. Zbl 1309.68160
Berthé, Valérie; De Felice, Clelia; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
33
2015
On an involution of Christoffel words and Sturmian morphisms. Zbl 1213.68476
Berthé, Valérie; de Luca, Aldo; Reutenauer, Christophe
31
2008
Frequencies of factors of Sturmian sequences. (Fréquences des facteurs des suites sturmiennes.) Zbl 0872.11018
Berthé, Valérie
30
1996
On continued fraction expansions in positive characteristic: equivalence relations and some metric properties. Zbl 1024.11050
Berthé, Valérie; Nakada, Hitoshi
26
2000
Discrete planes, \({\mathbb Z}^2\)-actions, Jacobi-Perron algorithm and substitutions. Zbl 1017.11006
Arnoux, Pierre; Berthé, Valérie; Ito, Shunji
25
2002
Maximal bifix decoding. Zbl 1309.68159
Berthé, Valérie; De Felice, Clelia; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
23
2015
Recognizability for sequences of morphisms. Zbl 1476.37022
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M.; Yassawi, Reem
23
2019
On the numeration system of Ostrowski. (Autour dy système de numération d’Ostrowski.) Zbl 0994.68100
Berthé, Valérie
19
2001
Palindromes and two-dimensional Sturmian sequences. Zbl 1002.11026
Berthé, Valérie; Vuillon, Laurent
19
2001
Tilings, quasicrystals, discrete planes, generalized substitutions, and multidimensional continued fractions. Zbl 1017.68147
Arnoux, Pierre; Berthé, Valérie; Ei, Hiromi; Ito, Shunji
19
2001
Balance properties of multi-dimensional words. Zbl 0997.68091
Berthé, Valérie; Tijdeman, Robert
19
2002
Interactions between dynamics, arithmetics and combinatorics: the good, the bad, and the ugly. Zbl 1156.37301
Berthé, Valérie; Ferenczi, Sébastien; Zamboni, Luca Q.
18
2005
Substitutions, Rauzy fractals and tilings. Zbl 1247.37015
Berthé, Valérie; Siegel, Anne; Thuswaldner, Jörg
18
2010
Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions. Zbl 1190.11005
Akiyama, Shigeki; Barat, Guy; Berthé, Valérie; Siegel, Anne
17
2008
Brun expansions of stepped surfaces. Zbl 1236.11011
Berthé, Valérie; Fernique, Thomas
16
2011
On substitution invariant Sturmian words: an application of Rauzy fractals. Zbl 1140.11014
Berthé, Valérie; Ei, Hiromi; Ito, Shunji; Rao, Hui
15
2007
Two-dimensional iterated morphisms and discrete planes. Zbl 1068.37004
Arnoux, Pierre; Berthé, Valérie; Siegel, Anne
14
2004
Functional stepped surfaces, flips, and generalized substitutions. Zbl 1119.68136
Arnoux, Pierre; Berthé, Valérie; Fernique, Thomas; Jamet, Damien
14
2007
The finite index basis property. Zbl 1357.68115
Berthé, Valérie; De Felice, Clelia; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
14
2015
Pascal’s triangle, complexity and automata. (Triangle de Pascal, complexité et automates.) Zbl 0922.11012
Allouche, Jean-Paul; Berthé, Valérie
14
1997
Geometry, dynamics, and arithmetic of \(S\)-adic shifts. (Géométrie, dynamique, et arithmétique des décalages \(S\)-adiques.) Zbl 1433.37010
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M.
14
2019
Factor complexity of \(S\)-adic words generated by the Arnoux-Rauzy-Poincaré algorithm. Zbl 1310.68170
Berthé, V.; Labbé, S.
13
2015
Bifix codes and interval exchanges. Zbl 1357.68152
Berthé, Valérie; De Felice, Clelia; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
13
2015
Purely periodic \(\beta \)-expansions in the Pisot non-unit case. Zbl 1197.11139
Berthé, Valerie; Siegel, Anne
12
2007
Fractal representation of the attractive lamination of an automorphism of the free group. Zbl 1146.20020
Arnoux, Pierre; Berthé, Valérie; Hilion, Arnaud; Siegel, Anne
11
2006
Multidimensional Euclidean algorithms, numeration and substitutions. Zbl 1273.11014
Berthé, Valerie
11
2011
Sequences of low complexity: Automatic and Sturmian sequences. Zbl 0976.11014
Berthé, Valérie
10
2000
Fractal tiles associated with shift radix systems. Zbl 1221.11018
Berthé, Valérie; Siegel, Anne; Steiner, Wolfgang; Surer, Paul; Thuswaldner, Jörg M.
10
2011
Double sequences of low complexity. (Suites doubles de basse complexité.) Zbl 1018.37010
Berthé, Valérie; Vuillon, Laurent
9
2000
A combinatorial approach to products of Pisot substitutions. Zbl 1378.37036
Berthé, Valérie; Bourdon, Jérémie; Jolivet, Timo; Siegel, Anne
9
2016
On the dimension group of unimodular \(\mathcal{S}\)-adic subshifts. Zbl 1469.37012
Berthé, Valérie; Cecchi Bernales, P.; Durand, Fabien; Leroy, Julien; Perrin, Dominique; Petite, S.
9
2021
Balancedness and coboundaries in symbolic systems. Zbl 1423.68366
Berthé, Valérie; Cecchi Bernales, Paulina
9
2019
Rigidity and substitutive dendric words. Zbl 1448.68365
Berthé, V.; Dolce, F.; Durand, F.; Leroy, J.; Perrin, D.
9
2018
Smooth words over arbitrary alphabets. Zbl 1077.68082
Berthé, Valérie; Brlek, Srečko; Choquette, Philippe
8
2005
Balance properties of Arnoux-Rauzy words. Zbl 1269.68073
Berthé, Valérie; Cassaigne, Julien; Steiner, Wolfgang
8
2013
Return words of linear involutions and fundamental groups. Zbl 1375.37033
Berthé, Valérie; Delecroix, Vincent; Dolce, Francesco; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
7
2017
On the second Lyapunov exponent of some multidimensional continued fraction algorithms. Zbl 1473.11012
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M.
7
2021
Combinatorics, words and symbolic dynamics. Zbl 1370.05003
7
2016
Critical connectedness of thin arithmetical discrete planes. Zbl 1382.68246
Berthé, Valérie; Jamet, Damien; Jolivet, Timo; Provençal, Xavier
7
2013
Lattices and multi-dimensional words. Zbl 1068.37005
Berthé, Valérie; Tijdeman, Robert
6
2004
Covering numbers: Arithmetics and dynamics for rotations and interval exchanges. Zbl 0996.37006
Berthé, Valérie; Chekhova, Nataliya; Ferenczi, Sébastien
6
1999
Sturm numbers and substitution invariance of 3iet words. Zbl 1202.11021
Arnoux, Pierre; Berthé, Valérie; Masáková, Zuzana; Pelantová, Edita
6
2008
An arithmetic and combinatorial approach to three-dimensional discrete lines. Zbl 1272.52019
Berthé, Valérie; Labbé, Sébastien
6
2011
Probabilistic analyses of the plain multiple gcd algorithm. Zbl 1346.68308
Berthé, Valérie; Lhote, Loïck; Vallée, Brigitte
6
2016
Substitutive Arnoux-Rauzy sequences have pure discrete spectrum. Zbl 1313.37004
Berthé, Valérie; Jolivet, Timo; Siegel, Anne
6
2012
Complexity and linear cellular automata. (Complexité et automates cellulaires linéaires.) Zbl 0988.68116
Berthé, Valérie
5
2000
Sequences, groups, and number theory. Zbl 1394.05002
5
2018
Abstract numeration systems and tilings. Zbl 1156.68443
Berthé, Valérie; Rigo, Michel
5
2005
Odometers on regular languages. Zbl 1107.68046
Berthé, Valérie; Rigo, Michel
5
2007
Generating discrete planes with substitutions. Zbl 1400.11075
Berthé, Valérie; Bourdon, Jérémie; Jolivet, Timo; Siegel, Anne
5
2013
Diophantine approximation, Ostrowski numeration and the double-base number system. Zbl 1221.11017
Berthé, Valérie; Imbert, Laurent
5
2009
Specular sets. Zbl 1330.68231
Berthé, Valérie; Felice, Clelia; Delecroix, Vincent; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
5
2015
Carlitz \(\zeta\)-function and automata. (Fonction \(\zeta\) de Carlitz et automates.) Zbl 0784.11025
Berthé, Valérie
4
1993
Some constructions for the higher-dimensional three-distance theorem. Zbl 1434.11127
Berthé, Valérie; Kim, Dong Han
4
2018
Automates et valeurs de transcendance du logarithme de Carlitz. (Automata and transcendental values of the Carlitz logarithm). Zbl 0784.11024
Berthé, Valérie
4
1994
Linear combinations of \(\zeta(s)/ \Pi^ s\) over \(F_ q(x)\) for \(1\leq s\leq q-2\). (Combinaisons linéaires de \(\zeta(s)/ \Pi^ s\) sur \(F_ q(x)\), pour \(1\leq s\leq q-2\).) Zbl 0853.11062
Berthé, Valérie
4
1995
Specular sets. Zbl 1383.68066
Berthé, Valérie; De Felice, Clelia; Delecroix, Vincent; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
4
2017
\(S\)-adic expansions related to continued fractions. Zbl 1372.37024
Berthé, Valérie
4
2016
Fully subtractive algorithm, Tribonacci numeration and connectedness of discrete planes. Zbl 1352.11013
Berthé, Valérie; Domenjoud, Éric; Jamet, Damien; Provençal, Xavier
4
2014
Preliminaries [to: Combinatorics, words and symbolic dynamics]. Zbl 1404.11003
Berthé, Valérie; Rigo, Michel
4
2016
Conditional entropy of some automatic sequences. Zbl 0846.11019
Berthé, Valérie
3
1994
Discrete rotations and symbolic dynamics. Zbl 1115.68119
Berthé, Valérie; Nouvel, Bertrand
3
2007
Uniformly balanced words with linear complexity and prescribed letter frequencies. Zbl 1331.68161
Berthé, Valérie; Labbé, Sébastien
3
2011
The \(S\)-adic Pisot conjecture on two letters. Zbl 1368.37020
Berthé, Valérie; Minervino, Milton; Steiner, Wolfgang; Thuswaldner, Jörg
3
2016
Connectedness of fractals associated with Arnoux-Rauzy substitutions. Zbl 1326.37007
Berthé, Valérie; Jolivet, Timo; Siegel, Anne
3
2014
Arithmetic discrete planes are quasicrystals. Zbl 1261.52013
Berthé, Valérie
3
2009
Fine costs for Euclid’s algorithm on polynomials and Farey maps. Zbl 1285.11102
Berthé, Valérie; Nakada, Hitoshi; Natsui, Rie; Vallée, Brigitte
3
2014
New “automatic” proofs for the transcendence of the Carlitz zeta function. (De nouvelles preuves “automatiques” de transcendance pour la fonction zeta de Carlitz.) Zbl 0788.11020
Berthé, Valérie
2
1992
The Brun gcd algorithm in high dimensions is almost always subtractive. Zbl 1427.11143
Berthé, Valérie; Lhote, Loïck; Vallée, Brigitte
2
2018
A study of Jacobi-Perron boundary words for the generation of discrete planes. Zbl 1296.68113
Berthé, Valérie; Lacasse, Annie; Paquin, Geneviève; Provençal, Xavier
2
2013
Mini-workshop: Combinatorics on words. Abstracts from the mini-workshop held August 22nd – August 28th, 2010. Zbl 1209.00036
2
2010
Discrete geometry and symbolic dynamics. Zbl 1204.37011
Berthé, Valérie
1
2009
Entropy in deterministic and random systems. Zbl 0884.28014
Berthé, V.
1
1995
Two arithmetical sources and their associated tries. Zbl 07651043
Berthé, Valérie; Cesaratto, Eda; Paccaut, Frédéric; Rotondo, Pablo; Safe, Martín D.; Vallée, Brigitte
1
2020
Multiple GCDs. Probabilistic analysis of the plain algorithm. Zbl 1360.68972
Berthé, Valérie; Creusefond, Jean; Lhote, Loïck; Vallée, Brigitte
1
2013
Multidimensional continued fractions and symbolic codings of toral translations. Zbl 07774923
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M.
1
2023
Analysis of the Brun GCD algorithm. Zbl 1364.11162
Berthé, Valérie; Lhote, Loïck; Vallée, Brigitte
1
2016
The carry propagation of the successor function. Zbl 1484.11012
Berthé, Valérie; Frougny, Christiane; Rigo, Michel; Sakarovitch, Jacques
1
2020
Numeration and discrete dynamical systems. Zbl 1269.11009
Berthé, V.
1
2012
Convergence and factor complexity for the Arnoux-Rauzy-Poincaré algorithm. Zbl 1400.11018
Berthé, Valérie; Labbé, Sebastien
1
2013
Selfdual substitutions in dimension one. Zbl 1252.68164
Berthé, Valérie; Frettlöh, Dirk; Sirvent, Victor
1
2012
Recurrence function on Sturmian words: a probabilistic study. Zbl 1465.68220
Berthé, Valérie; Cesaratto, Eda; Rotondo, Pablo; Vallée, Brigitte; Viola, Alfredo
1
2015
Multidimensional continued fractions and symbolic codings of toral translations. Zbl 07774923
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M.
1
2023
On the dimension group of unimodular \(\mathcal{S}\)-adic subshifts. Zbl 1469.37012
Berthé, Valérie; Cecchi Bernales, P.; Durand, Fabien; Leroy, Julien; Perrin, Dominique; Petite, S.
9
2021
On the second Lyapunov exponent of some multidimensional continued fraction algorithms. Zbl 1473.11012
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M.
7
2021
Two arithmetical sources and their associated tries. Zbl 07651043
Berthé, Valérie; Cesaratto, Eda; Paccaut, Frédéric; Rotondo, Pablo; Safe, Martín D.; Vallée, Brigitte
1
2020
The carry propagation of the successor function. Zbl 1484.11012
Berthé, Valérie; Frougny, Christiane; Rigo, Michel; Sakarovitch, Jacques
1
2020
Recognizability for sequences of morphisms. Zbl 1476.37022
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M.; Yassawi, Reem
23
2019
Geometry, dynamics, and arithmetic of \(S\)-adic shifts. (Géométrie, dynamique, et arithmétique des décalages \(S\)-adiques.) Zbl 1433.37010
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M.
14
2019
Balancedness and coboundaries in symbolic systems. Zbl 1423.68366
Berthé, Valérie; Cecchi Bernales, Paulina
9
2019
Rigidity and substitutive dendric words. Zbl 1448.68365
Berthé, V.; Dolce, F.; Durand, F.; Leroy, J.; Perrin, D.
9
2018
Sequences, groups, and number theory. Zbl 1394.05002
5
2018
Some constructions for the higher-dimensional three-distance theorem. Zbl 1434.11127
Berthé, Valérie; Kim, Dong Han
4
2018
The Brun gcd algorithm in high dimensions is almost always subtractive. Zbl 1427.11143
Berthé, Valérie; Lhote, Loïck; Vallée, Brigitte
2
2018
Return words of linear involutions and fundamental groups. Zbl 1375.37033
Berthé, Valérie; Delecroix, Vincent; Dolce, Francesco; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
7
2017
Specular sets. Zbl 1383.68066
Berthé, Valérie; De Felice, Clelia; Delecroix, Vincent; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
4
2017
A combinatorial approach to products of Pisot substitutions. Zbl 1378.37036
Berthé, Valérie; Bourdon, Jérémie; Jolivet, Timo; Siegel, Anne
9
2016
Combinatorics, words and symbolic dynamics. Zbl 1370.05003
7
2016
Probabilistic analyses of the plain multiple gcd algorithm. Zbl 1346.68308
Berthé, Valérie; Lhote, Loïck; Vallée, Brigitte
6
2016
\(S\)-adic expansions related to continued fractions. Zbl 1372.37024
Berthé, Valérie
4
2016
Preliminaries [to: Combinatorics, words and symbolic dynamics]. Zbl 1404.11003
Berthé, Valérie; Rigo, Michel
4
2016
The \(S\)-adic Pisot conjecture on two letters. Zbl 1368.37020
Berthé, Valérie; Minervino, Milton; Steiner, Wolfgang; Thuswaldner, Jörg
3
2016
Analysis of the Brun GCD algorithm. Zbl 1364.11162
Berthé, Valérie; Lhote, Loïck; Vallée, Brigitte
1
2016
On the Pisot substitution conjecture. Zbl 1376.37043
Akiyama, S.; Barge, M.; Berthé, V.; Lee, J.-Y.; Siegel, A.
39
2015
Acyclic, connected and tree sets. Zbl 1309.68160
Berthé, Valérie; De Felice, Clelia; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
33
2015
Maximal bifix decoding. Zbl 1309.68159
Berthé, Valérie; De Felice, Clelia; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
23
2015
The finite index basis property. Zbl 1357.68115
Berthé, Valérie; De Felice, Clelia; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
14
2015
Factor complexity of \(S\)-adic words generated by the Arnoux-Rauzy-Poincaré algorithm. Zbl 1310.68170
Berthé, V.; Labbé, S.
13
2015
Bifix codes and interval exchanges. Zbl 1357.68152
Berthé, Valérie; De Felice, Clelia; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
13
2015
Specular sets. Zbl 1330.68231
Berthé, Valérie; Felice, Clelia; Delecroix, Vincent; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
5
2015
Recurrence function on Sturmian words: a probabilistic study. Zbl 1465.68220
Berthé, Valérie; Cesaratto, Eda; Rotondo, Pablo; Vallée, Brigitte; Viola, Alfredo
1
2015
Beyond substitutive dynamical systems: \(S\)-adic expansions. Zbl 1376.37033
Berthé, Valérie; Delecroix, Vincent
42
2014
Fully subtractive algorithm, Tribonacci numeration and connectedness of discrete planes. Zbl 1352.11013
Berthé, Valérie; Domenjoud, Éric; Jamet, Damien; Provençal, Xavier
4
2014
Connectedness of fractals associated with Arnoux-Rauzy substitutions. Zbl 1326.37007
Berthé, Valérie; Jolivet, Timo; Siegel, Anne
3
2014
Fine costs for Euclid’s algorithm on polynomials and Farey maps. Zbl 1285.11102
Berthé, Valérie; Nakada, Hitoshi; Natsui, Rie; Vallée, Brigitte
3
2014
Balance properties of Arnoux-Rauzy words. Zbl 1269.68073
Berthé, Valérie; Cassaigne, Julien; Steiner, Wolfgang
8
2013
Critical connectedness of thin arithmetical discrete planes. Zbl 1382.68246
Berthé, Valérie; Jamet, Damien; Jolivet, Timo; Provençal, Xavier
7
2013
Generating discrete planes with substitutions. Zbl 1400.11075
Berthé, Valérie; Bourdon, Jérémie; Jolivet, Timo; Siegel, Anne
5
2013
A study of Jacobi-Perron boundary words for the generation of discrete planes. Zbl 1296.68113
Berthé, Valérie; Lacasse, Annie; Paquin, Geneviève; Provençal, Xavier
2
2013
Multiple GCDs. Probabilistic analysis of the plain algorithm. Zbl 1360.68972
Berthé, Valérie; Creusefond, Jean; Lhote, Loïck; Vallée, Brigitte
1
2013
Convergence and factor complexity for the Arnoux-Rauzy-Poincaré algorithm. Zbl 1400.11018
Berthé, Valérie; Labbé, Sebastien
1
2013
Substitutive Arnoux-Rauzy sequences have pure discrete spectrum. Zbl 1313.37004
Berthé, Valérie; Jolivet, Timo; Siegel, Anne
6
2012
Numeration and discrete dynamical systems. Zbl 1269.11009
Berthé, V.
1
2012
Selfdual substitutions in dimension one. Zbl 1252.68164
Berthé, Valérie; Frettlöh, Dirk; Sirvent, Victor
1
2012
Brun expansions of stepped surfaces. Zbl 1236.11011
Berthé, Valérie; Fernique, Thomas
16
2011
Multidimensional Euclidean algorithms, numeration and substitutions. Zbl 1273.11014
Berthé, Valerie
11
2011
Fractal tiles associated with shift radix systems. Zbl 1221.11018
Berthé, Valérie; Siegel, Anne; Steiner, Wolfgang; Surer, Paul; Thuswaldner, Jörg M.
10
2011
An arithmetic and combinatorial approach to three-dimensional discrete lines. Zbl 1272.52019
Berthé, Valérie; Labbé, Sébastien
6
2011
Uniformly balanced words with linear complexity and prescribed letter frequencies. Zbl 1331.68161
Berthé, Valérie; Labbé, Sébastien
3
2011
Combinatorics, automata, and number theory. Zbl 1197.68006
83
2010
Substitutions, Rauzy fractals and tilings. Zbl 1247.37015
Berthé, Valérie; Siegel, Anne; Thuswaldner, Jörg
18
2010
Mini-workshop: Combinatorics on words. Abstracts from the mini-workshop held August 22nd – August 28th, 2010. Zbl 1209.00036
2
2010
Diophantine approximation, Ostrowski numeration and the double-base number system. Zbl 1221.11017
Berthé, Valérie; Imbert, Laurent
5
2009
Arithmetic discrete planes are quasicrystals. Zbl 1261.52013
Berthé, Valérie
3
2009
Discrete geometry and symbolic dynamics. Zbl 1204.37011
Berthé, Valérie
1
2009
On an involution of Christoffel words and Sturmian morphisms. Zbl 1213.68476
Berthé, Valérie; de Luca, Aldo; Reutenauer, Christophe
31
2008
Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions. Zbl 1190.11005
Akiyama, Shigeki; Barat, Guy; Berthé, Valérie; Siegel, Anne
17
2008
Sturm numbers and substitution invariance of 3iet words. Zbl 1202.11021
Arnoux, Pierre; Berthé, Valérie; Masáková, Zuzana; Pelantová, Edita
6
2008
On substitution invariant Sturmian words: an application of Rauzy fractals. Zbl 1140.11014
Berthé, Valérie; Ei, Hiromi; Ito, Shunji; Rao, Hui
15
2007
Functional stepped surfaces, flips, and generalized substitutions. Zbl 1119.68136
Arnoux, Pierre; Berthé, Valérie; Fernique, Thomas; Jamet, Damien
14
2007
Purely periodic \(\beta \)-expansions in the Pisot non-unit case. Zbl 1197.11139
Berthé, Valerie; Siegel, Anne
12
2007
Odometers on regular languages. Zbl 1107.68046
Berthé, Valérie; Rigo, Michel
5
2007
Discrete rotations and symbolic dynamics. Zbl 1115.68119
Berthé, Valérie; Nouvel, Bertrand
3
2007
Initial powers of Sturmian sequences. Zbl 1117.37005
Berthé, Valérie; Holton, Charles; Zamboni, Luca Q.
37
2006
Dynamical directions in numeration. Zbl 1138.37005
Barat, Guy; Berthé, Valérie; Liardet, Pierre; Thuswaldner, Jörg
33
2006
Fractal representation of the attractive lamination of an automorphism of the free group. Zbl 1146.20020
Arnoux, Pierre; Berthé, Valérie; Hilion, Arnaud; Siegel, Anne
11
2006
Applied combinatorics on words. A collective work by Jean Berstel, Dominique Perrin, Maxime Crochemore, Eric Laporte, Mehryar Mohri, Nadia Pisanti, Marie-France Sagot, Gesine Reinert, Sophie Schbath, Michael Waterman, Philippe Jacquet, Wojciech Szpankowski, Dominique Poulalhon, Gilles Schaeffer, Roman Kolpakov, Gregory Koucherov, Jean-Paul Allouche and Valérie Berthé. With a preface by Berstel and Perrin. Zbl 1133.68067
Lothaire, M.
149
2005
Tilings associated with beta-numeration and substitutions. Zbl 1139.37008
Berthé, Valérie; Siegel, Anne
38
2005
Interactions between dynamics, arithmetics and combinatorics: the good, the bad, and the ugly. Zbl 1156.37301
Berthé, Valérie; Ferenczi, Sébastien; Zamboni, Luca Q.
18
2005
Smooth words over arbitrary alphabets. Zbl 1077.68082
Berthé, Valérie; Brlek, Srečko; Choquette, Philippe
8
2005
Abstract numeration systems and tilings. Zbl 1156.68443
Berthé, Valérie; Rigo, Michel
5
2005
Two-dimensional iterated morphisms and discrete planes. Zbl 1068.37004
Arnoux, Pierre; Berthé, Valérie; Siegel, Anne
14
2004
Lattices and multi-dimensional words. Zbl 1068.37005
Berthé, Valérie; Tijdeman, Robert
6
2004
Substitutions in dynamics, arithmetics and combinatorics. Zbl 1014.11015
392
2002
Discrete planes, \({\mathbb Z}^2\)-actions, Jacobi-Perron algorithm and substitutions. Zbl 1017.11006
Arnoux, Pierre; Berthé, Valérie; Ito, Shunji
25
2002
Balance properties of multi-dimensional words. Zbl 0997.68091
Berthé, Valérie; Tijdeman, Robert
19
2002
On the numeration system of Ostrowski. (Autour dy système de numération d’Ostrowski.) Zbl 0994.68100
Berthé, Valérie
19
2001
Palindromes and two-dimensional Sturmian sequences. Zbl 1002.11026
Berthé, Valérie; Vuillon, Laurent
19
2001
Tilings, quasicrystals, discrete planes, generalized substitutions, and multidimensional continued fractions. Zbl 1017.68147
Arnoux, Pierre; Berthé, Valérie; Ei, Hiromi; Ito, Shunji
19
2001
Tilings and rotations on the torus: A two-dimensional generalization of Sturmian sequences. Zbl 0970.68124
Berthé, Valérie; Vuillon, Laurent
50
2000
On continued fraction expansions in positive characteristic: equivalence relations and some metric properties. Zbl 1024.11050
Berthé, Valérie; Nakada, Hitoshi
26
2000
Sequences of low complexity: Automatic and Sturmian sequences. Zbl 0976.11014
Berthé, Valérie
10
2000
Double sequences of low complexity. (Suites doubles de basse complexité.) Zbl 1018.37010
Berthé, Valérie; Vuillon, Laurent
9
2000
Complexity and linear cellular automata. (Complexité et automates cellulaires linéaires.) Zbl 0988.68116
Berthé, Valérie
5
2000
Covering numbers: Arithmetics and dynamics for rotations and interval exchanges. Zbl 0996.37006
Berthé, Valérie; Chekhova, Nataliya; Ferenczi, Sébastien
6
1999
Three distance theorems and combinatorics on words. Zbl 0997.11051
Alessandri, Pascal; Berthé, Valérie
57
1998
Pascal’s triangle, complexity and automata. (Triangle de Pascal, complexité et automates.) Zbl 0922.11012
Allouche, Jean-Paul; Berthé, Valérie
14
1997
Frequencies of factors of Sturmian sequences. (Fréquences des facteurs des suites sturmiennes.) Zbl 0872.11018
Berthé, Valérie
30
1996
Linear combinations of \(\zeta(s)/ \Pi^ s\) over \(F_ q(x)\) for \(1\leq s\leq q-2\). (Combinaisons linéaires de \(\zeta(s)/ \Pi^ s\) sur \(F_ q(x)\), pour \(1\leq s\leq q-2\).) Zbl 0853.11062
Berthé, Valérie
4
1995
Entropy in deterministic and random systems. Zbl 0884.28014
Berthé, V.
1
1995
Automates et valeurs de transcendance du logarithme de Carlitz. (Automata and transcendental values of the Carlitz logarithm). Zbl 0784.11024
Berthé, Valérie
4
1994
Conditional entropy of some automatic sequences. Zbl 0846.11019
Berthé, Valérie
3
1994
Carlitz \(\zeta\)-function and automata. (Fonction \(\zeta\) de Carlitz et automates.) Zbl 0784.11025
Berthé, Valérie
4
1993
New “automatic” proofs for the transcendence of the Carlitz zeta function. (De nouvelles preuves “automatiques” de transcendance pour la fonction zeta de Carlitz.) Zbl 0788.11020
Berthé, Valérie
2
1992
all top 5

Cited by 780 Authors

53 Berthé, Valérie
28 Thuswaldner, Jörg Maximilian
26 Rigo, Michel
23 Pelantová, Edita
23 Zamboni, Luca Quardo
18 Leroy, Julien
18 Perrin, Dominique
16 Dolce, Francesco
16 Labbé, Sébastien
16 Zhuravlev, Vladimir Georgievich
15 Ferenczi, Sébastien
15 Reutenauer, Christophe
15 Steiner, Wolfgang
14 Cassaigne, Julien
14 Wen, Zhixiong
12 Puzynina, Svetlana
12 Solomyak, Boris
11 Kim, Donghan
11 Salo, Ville O.
11 Stipulanti, Manon
11 Vuillon, Laurent
10 Bugeaud, Yann
10 Charlier, Emilie
10 Masáková, Zuzana
10 Starosta, Štěpán
10 Tan, Bo
9 Adamczewski, Boris
9 Akiyama, Shigeki
9 Allouche, Jean-Paul Simon
9 Bédaride, Nicolas
9 Damanik, David
9 Fernique, Thomas
9 Hubert, Pascal
9 Kamae, Teturo
9 Pavlov, Ronnie
9 Sirvent, Víctor F.
8 Bufetov, Aleksandr Igorevich
8 de Luca, Aldo
8 Durand, Fabien
8 Grimm, Uwe
8 Mauduit, Christian
8 Noll, Thomas
8 Richomme, Gwénaël
8 Shutov, Anton V.
8 Siegel, Anne
7 Arnoux, Pierre
7 Baake, Michael
7 Fici, Gabriele
7 Glen, Amy
7 Ito, Shunji
7 Koivusalo, Henna
7 Moshe, Yossi
7 Rao, Hui
7 Rindone, Giuseppina
7 Sadun, Lorenzo A.
7 Shallit, Jeffrey Outlaw
7 Whiteland, Markus A.
6 Barge, Marcy M.
6 Berstel, Jean
6 Clampitt, David
6 Costa, Alfredo
6 De Felice, Clelia
6 Delecroix, Vincent
6 Haynes, Alan K.
6 Justin, Jacques
6 Lemańczyk, Mariusz
6 Provençal, Xavier
6 Surer, Paul
6 Vallée, Brigitte
6 Walton, James J.
6 Wen, Zhi-Ying
6 Wu, Jun
6 Yassawi, Reem
5 Bezuglyi, Sergey I.
5 Bruin, Henk
5 Chen, Jin
5 Dvořáková, L’ubomíra
5 Frettlöh, Dirk
5 Guo, Yingjun
5 Hilion, Arnaud
5 Isola, Stefano
5 Jolivet, Timo
5 Julien, Antoine
5 Konieczny, Jakub
5 Lejeune, Marie
5 Lenz, Daniel H.
5 Lim, Seonhee
5 Lopez, Luis-Miguel
5 Marsault, Victor
5 Mignosi, Filippo
5 Nakada, Hitoshi
5 Rampersad, Narad
5 Scheicher, Klaus
5 Spiegelhofer, Lukas
5 Tijdeman, Robert
4 Almeida, Jorge
4 Ambrož, Petr
4 Bernat, Julien
4 Bertazzon, Jean-Francois
4 Brlek, Srečko
...and 680 more Authors
all top 5

Cited in 181 Serials

114 Theoretical Computer Science
46 Ergodic Theory and Dynamical Systems
27 European Journal of Combinatorics
25 Annales de l’Institut Fourier
23 Monatshefte für Mathematik
22 Transactions of the American Mathematical Society
19 Discrete Mathematics
16 Journal de Théorie des Nombres de Bordeaux
15 Discrete Applied Mathematics
15 Advances in Applied Mathematics
15 Discrete and Continuous Dynamical Systems
13 Indagationes Mathematicae. New Series
13 RAIRO. Theoretical Informatics and Applications
12 Journal of Number Theory
12 RAIRO. Theoretical Informatics and Applications
11 Israel Journal of Mathematics
10 Journal d’Analyse Mathématique
10 Proceedings of the American Mathematical Society
10 Topology and its Applications
10 Journal of Mathematical Sciences (New York)
10 The Electronic Journal of Combinatorics
9 Advances in Mathematics
9 International Journal of Foundations of Computer Science
9 Finite Fields and their Applications
8 Nonlinearity
8 International Journal of Algebra and Computation
8 Journal of Mathematics and Music
7 Mathematische Zeitschrift
7 Information and Computation
6 Acta Arithmetica
6 Bulletin de la Société Mathématique de France
6 Geometriae Dedicata
6 Discrete & Computational Geometry
6 St. Petersburg Mathematical Journal
6 International Journal of Number Theory
5 Journal of Mathematical Analysis and Applications
5 Journal of Mathematical Physics
5 Journal of the European Mathematical Society (JEMS)
4 Communications in Mathematical Physics
4 Physica A
4 Chaos, Solitons and Fractals
4 Journal of Combinatorial Theory. Series A
4 Osaka Journal of Mathematics
4 Expositiones Mathematicae
4 Integers
4 Chebyshevskiĭ Sbornik
4 Actes des Rencontres du C.I.R.M.
3 American Mathematical Monthly
3 Journal of Statistical Physics
3 Mathematical Notes
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Canadian Journal of Mathematics
3 Journal of Algebra
3 Journal of Functional Analysis
3 Mathematika
3 Acta Mathematica Hungarica
3 Algorithmica
3 Journal of Mathematical Imaging and Vision
3 Experimental Mathematics
3 Fractals
3 The Ramanujan Journal
3 Theory of Computing Systems
3 Annales Henri Poincaré
3 Dynamical Systems
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Spectral Theory
3 Combinatorial Theory
2 Bulletin of the Australian Mathematical Society
2 Communications in Algebra
2 Studia Mathematica
2 Mathematics of Computation
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Journal of Approximation Theory
2 Journal of Computer and System Sciences
2 Journal of the London Mathematical Society. Second Series
2 Journal of Pure and Applied Algebra
2 Proceedings of the London Mathematical Society. Third Series
2 Quaestiones Mathematicae
2 Semigroup Forum
2 Journal of Symbolic Computation
2 Forum Mathematicum
2 Aequationes Mathematicae
2 Linear Algebra and its Applications
2 Pattern Recognition
2 Russian Mathematics
2 Journal of Difference Equations and Applications
2 Discrete Mathematics and Theoretical Computer Science. DMTCS
2 Chaos
2 Stochastics and Dynamics
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Proceedings of the Steklov Institute of Mathematics
2 Groups, Geometry, and Dynamics
2 Journal of Modern Dynamics
2 Logical Methods in Computer Science
2 Science China. Mathematics
2 Bulletin of Mathematical Sciences
2 Journal of Fractal Geometry
2 Annales Henri Lebesgue
1 Computers & Mathematics with Applications
1 Computer Physics Communications
...and 81 more Serials
all top 5

Cited in 50 Fields

416 Computer science (68-XX)
363 Dynamical systems and ergodic theory (37-XX)
331 Number theory (11-XX)
98 Convex and discrete geometry (52-XX)
92 Measure and integration (28-XX)
83 Combinatorics (05-XX)
43 Group theory and generalizations (20-XX)
21 General topology (54-XX)
17 Operator theory (47-XX)
15 Mathematical logic and foundations (03-XX)
14 General and overarching topics; collections (00-XX)
14 Information and communication theory, circuits (94-XX)
13 Manifolds and cell complexes (57-XX)
11 Statistical mechanics, structure of matter (82-XX)
10 Probability theory and stochastic processes (60-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Functional analysis (46-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 General algebraic systems (08-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Quantum theory (81-XX)
5 Algebraic geometry (14-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Associative rings and algebras (16-XX)
4 Topological groups, Lie groups (22-XX)
4 Real functions (26-XX)
4 Partial differential equations (35-XX)
4 Geometry (51-XX)
4 Algebraic topology (55-XX)
4 Statistics (62-XX)
4 Numerical analysis (65-XX)
3 Field theory and polynomials (12-XX)
3 Commutative algebra (13-XX)
3 Functions of a complex variable (30-XX)
3 Difference and functional equations (39-XX)
3 Sequences, series, summability (40-XX)
3 Operations research, mathematical programming (90-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 \(K\)-theory (19-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
1 History and biography (01-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Approximations and expansions (41-XX)
1 Integral equations (45-XX)
1 Differential geometry (53-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)
1 Systems theory; control (93-XX)

Citations by Year

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