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Reutenauer, Christophe

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Author ID: reutenauer.christophe Recent zbMATH articles by "Reutenauer, Christophe"
Published as: Reutenauer, Christophe; Reutenauer, C.
Homepage: http://www.lacim.uqam.ca/~christo/index.html
External Links: MGP · Math-Net.Ru · GND
Member of Collective: Lothaire, M.
all top 5

Co-Authors

58 single-authored
19 Perrin, Dominique
17 Berstel, Jean
11 Dolce, Francesco
10 Brlek, Srečko
10 Restivo, Antonio
10 Rindone, Giuseppina
9 Kassel, Christian
8 Berthé, Valérie
8 De Felice, Clelia
6 Leroy, Julien
6 Patras, Frédéric
6 Schützenberger, Marcel-Paul
5 Bergeron, François
5 Malvenuto, Claudia
5 Melançon, Guy
4 Abram, Antoine
4 Choffrut, Christian
4 Cori, Robert
4 Pin, Jean-Eric
3 Borel, Jean-Pierre
3 Delecroix, Vincent
3 Foata, Dominique C.
3 Lapointe, Mélodie
3 Lascoux, Alain
3 Lavallée, Sylvain
3 Lothaire, M.
3 Lyndon, Roger C.
3 Retakh, Vladimir Solomonovich
3 Rota, Gian-Carlo
3 Simon, Imre
2 Assem, Ibrahim
2 Bacher, Roland
2 Béal, Marie-Pierre
2 Bergeron, Nantel
2 Cohn, Paul Moritz
2 de Luca, Aldo
2 Fliess, Michel
2 Garsia, Adriano M.
2 Gessel, Ira Martin
2 Hansel, Georges
2 Hohlweg, Christophe
2 Jacob, Gérard
2 Lauve, Aaron
2 Provençal, Xavier
2 Sakarovitch, Jacques
1 Barrucand, Pierre-A.
1 Berenstein, Arkady
1 Björner, Anders
1 Blanchette, Benjamin
1 Blondin Massé, Alexandre
1 Borillo, Mario
1 Bruyère, Véronique
1 Bugeaud, Yann
1 Carton, Olivier
1 Chapelier-Laget, Nathan
1 Chemillier, Marc
1 De Luca, Alessandro
1 Duchamp, Gerard Henry Edmond
1 Eden, Moshé
1 Felice, Clelia
1 Flato, Moshé
1 Fortin, Marc
1 Gadoffre, G.
1 Galperin, Charles
1 Gross, Maurice
1 Halle, Morris
1 Harris, Zellig
1 He, Shi
1 Jöllenbeck, Armin
1 Kerber, Adalbert
1 Labbé, Sébastien
1 Lachaud, Jacques-Olivier
1 Lallement, Gerard J.
1 Leroux, Pierre
1 Lichnerowicz, Andre
1 Machi, Antonio
1 Mantaci, Roberto
1 Marcus, Brian H.
1 McNamara, Peter R. W.
1 Nivat, Maurice
1 Novelli, Jean-Christophe
1 Paquin, Geneviève
1 Pirillo, G.
1 Poirier, Stéphane
1 Procesi, Claudio
1 Ram, Arun
1 Robado, Marco
1 Rosas, Mercedes Helena
1 Rosenstiehl, Pierre
1 Saliola, Franco V.
1 Schocker, Manfred
1 Siegel, Paul H.
1 Siksek, Samir
1 Smith, David
1 Straubing, Howard
1 Thibon, Jean-Yves
1 Vaintrob, Arkady
1 Vandomme, Élise
1 Viennot, Xavier Gérard
1 Vuillon, Laurent
...and 2 more Co-Authors
all top 5

Serials

26 Theoretical Computer Science
9 Journal of Algebra
7 European Journal of Combinatorics
6 Discrete Mathematics
6 Comptes Rendus de l’Académie des Sciences. Série I
4 Advances in Mathematics
4 Annales des Sciences Mathématiques du Québec
4 Canadian Journal of Mathematics
4 Journal of Pure and Applied Algebra
4 Semigroup Forum
4 The Electronic Journal of Combinatorics
4 Séminaire Lotharingien de Combinatoire
4 Encyclopedia of Mathematics and Its Applications
3 Journal of Combinatorial Theory. Series A
3 Advances in Applied Mathematics
3 International Journal of Algebra and Computation
3 Journal of Algebraic Combinatorics
3 Lecture Notes in Computer Science
2 Bulletin de la Société Mathématique de France
2 Transactions of the American Mathematical Society
2 International Journal of Foundations of Computer Science
2 Integers
2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
1 Acta Informatica
1 Communications in Algebra
1 International Journal of Control
1 Journal of Mathematical Biology
1 Letters in Mathematical Physics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Arithmetica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Gazette des Mathématiciens
1 Illinois Journal of Mathematics
1 Information and Control
1 Inventiones Mathematicae
1 Journal of Computer and System Sciences
1 Journal of Number Theory
1 Mathematische Annalen
1 Michigan Mathematical Journal
1 Monatshefte für Mathematik
1 RAIRO, Informatique Théorique
1 Ricerche di Matematica
1 SIAM Journal on Computing
1 Ergodic Theory and Dynamical Systems
1 Discrete & Computational Geometry
1 \(K\)-Theory
1 Pattern Recognition
1 Expositiones Mathematicae
1 Journal de Théorie des Nombres de Bordeaux
1 Annales Mathématiques Blaise Pascal
1 Selecta Mathematica. New Series
1 The Ramanujan Journal
1 Journal of Integer Sequences
1 RAIRO. Theoretical Informatics and Applications
1 Moscow Mathematical Journal
1 CRM Monograph Series
1 London Mathematical Society Monographs. New Series
1 Journal of Mathematics and Music
1 Journal of Noncommutative Geometry
1 Algebra & Number Theory
1 Uniform Distribution Theory
1 EATCS Monographs on Theoretical Computer Science

Publications by Year

Citations contained in zbMATH Open

155 Publications have been cited 3,426 times in 1,839 Documents Cited by Year
Combinatorics on words. Foreword by Roger Lyndon. Zbl 0514.20045
Lothaire, M.
599
1983
Free Lie algebras. Zbl 0798.17001
Reutenauer, Christophe
403
1993
Combinatorics on words. Foreword by Roger Lyndon. 2nd ed. Zbl 0874.20040
Lothaire, M.
273
1997
Rational series and their languages. Zbl 0668.68005
Berstel, Jean; Reutenauer, Christophe
214
1988
Duality between quasi-symmetric functions and the Solomon descent algebra. Zbl 0838.05100
Malvenuto, Claudia; Reutenauer, Christophe
208
1995
Counting permutations with given cycle structure and descent set. Zbl 0793.05004
Gessel, Ira M.; Reutenauer, Christophe
119
1993
Noncommutative rational series with applications. Zbl 1250.68007
Berstel, Jean; Reutenauer, Christophe
74
2011
Codes and automata. Zbl 1187.94001
Berstel, Jean; Perrin, Dominique; Reutenauer, Christophe
66
2010
A decomposition of Solomon’s descent algebra. Zbl 0716.20006
Garsia, A. M.; Reutenauer, C.
63
1989
Recognizable formal power series on trees. Zbl 0485.68077
Berstel, J.; Reutenauer, C.
59
1982
On the palindromic complexity of infinite words. Zbl 1067.68113
Brlek, S.; Hamel, S.; Nivat, M.; Reutenauer, C.
55
2004
Les séries rationnelles et leurs langages. Zbl 0573.68037
Berstel, J.; Reutenauer, C.
52
1984
Combinatorics on words. Christoffel words and repetitions in words. Zbl 1161.68043
Berstel, Jean; Lauve, Aaron; Reutenauer, Christophe; Saliola, Franco V.
52
2009
On the Burnside problem for semigroups. Zbl 0545.20051
Restivo, Antonio; Reutenauer, Christophe
45
1984
Hopf algebras of tableaux. (Algèbres de Hopf de tableaux.) Zbl 0835.16035
Poirier, Stéphane; Reutenauer, Christophe
40
1995
Friezes. Zbl 1275.13017
Assem, Ibrahim; Reutenauer, Christophe; Smith, David
36
2010
A conjecture on the Hall topology for the free group. Zbl 0754.20007
Pin, Jean-Eric; Reutenauer, Christophe
35
1991
Inversion of matrices over a commutative semiring. Zbl 0563.15011
Reutenauer, Christophe; Straubing, Howard
34
1984
Invariants and coinvariants of the symmetric group in noncommuting variables. Zbl 1180.16025
Bergeron, Nantel; Reutenauer, Christophe; Rosas, Mercedes; Zabrocki, Mike
31
2008
On an involution of Christoffel words and Sturmian morphisms. Zbl 1213.68476
Berthé, Valérie; de Luca, Aldo; Reutenauer, Christophe
30
2008
A generalization of Solomon’s algebra for the hyperoctahedral groups and other wreath products. Zbl 0836.20010
Mantaci, R.; Reutenauer, C.
29
1995
Series formelles et algèbres syntactiques. Zbl 0444.68075
Reutenauer, Christophe
26
1980
Une topologie du monoide libre. Zbl 0444.68076
Reutenauer, Christophe
25
1979
Lyndon words, free algebras and shuffles. Zbl 0694.17003
Melançon, Guy; Reutenauer, Christophe
24
1989
On Christoffel classes. Zbl 1085.68116
Borel, Jean-Pierre; Reutenauer, Christophe
24
2006
Lyndon + Christoffel = digitally convex. Zbl 1176.68175
Brlek, S.; Lachaud, J.-O.; Provençal, X.; Reutenauer, C.
23
2009
Acyclic, connected and tree sets. Zbl 1309.68160
Berthé, Valérie; De Felice, Clelia; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
23
2015
The singular locus of a Schubert variety. Zbl 1032.14012
Kassel, Christian; Lascoux, Alain; Reutenauer, Christophe
21
2003
Applications of a noncommutative Jacobian matrix. Zbl 0746.16016
Reutenauer, Christophe
21
1992
Inversion height in free fields. Zbl 0857.16021
Reutenauer, C.
19
1996
Aspects mathématiques des réseaux de Pétri. (The mathematics of Petri nets. Translated by Iain Craig.) Zbl 0694.68007
Reutenauer, Christophe
18
1990
On descent algebras and twisted bialgebras. Zbl 1103.16026
Patras, Frédéric; Reutenauer, Christophe
16
2004
Maximal bifix decoding. Zbl 1309.68159
Berthé, Valérie; De Felice, Clelia; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
16
2015
On Dynkin and Klyachko idempotents in graded bialgebras. Zbl 1024.16021
Patras, Frédéric; Reutenauer, Christophe
15
2002
On the construction of the free field. Zbl 1040.16015
Cohn, P. M.; Reutenauer, C.
15
1999
A self paired Hopf algebra on double posets and a Littlewood-Richardson rule. Zbl 1231.05292
Malvenuto, Claudia; Reutenauer, Christophe
15
2011
Sturmian morphisms, the braid group \(B_4\), Christoffel words and bases of \(F_2\). Zbl 1150.05042
Kassel, Christian; Reutenauer, Christophe
15
2007
From Christoffel words to Markoff numbers. Zbl 1443.11002
Reutenauer, Christophe
15
2019
\(SL_k\)-tilings of the plane. Zbl 1236.13018
Bergeron, François; Reutenauer, Christophe
14
2010
Commutative/noncommutative rank of linear matrices and subspaces of matrices of low rank. Zbl 1069.15011
Fortin, Marc; Reutenauer, Christophe
14
2004
Lyndon words, permutations and trees. Zbl 1058.68086
Hohlweg, Christophe; Reutenauer, Christophe
14
2003
Bifix codes and Sturmian words. Zbl 1263.68121
Berstel, Jean; De Felice, Clelia; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
14
2012
Plethysm and conjugation of quasi-symmetric functions. Zbl 1061.05506
Malvenuto, Claudia; Reutenauer, Christophe
13
1998
Sur les éléments inversibles de l’algèbre de Hadamard des séries rationnelles. Zbl 0517.13010
Reutenauer, Christophe
13
1982
Homomorphisms between Solomon’s descent algebras. Zbl 0770.20008
Bergeron, F.; Garsia, A.; Reutenauer, C.
12
1992
A rationality criterion coming from noncommutative geometry. (Un critère de rationalité provenant de la géométrie non commutative.) Zbl 0870.68093
Duchamp, Gérard; Reutenauer, Christophe
12
1997
Bifix codes and interval exchanges. Zbl 1357.68152
Berthé, Valérie; De Felice, Clelia; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
12
2015
Rational languages and the Burnside problem. Zbl 0597.68057
Restivo, Antonio; Reutenauer, Christophe
11
1985
A normal form in free fields. Zbl 0836.16012
Cohn, Paul M.; Reutenauer, Christophe
11
1994
A palindromization map for the free group. Zbl 1155.68066
Kassel, Christian; Reutenauer, Christophe
11
2008
Free Lie algebras. Zbl 1071.17003
Reutenauer, Christophe
11
2003
On the factorization of codes. (Sulla fattorizzazione dei codici.) Zbl 0543.68063
Reutenauer, Christophe
11
1983
Solution partielle de la conjecture de factorisation des codes. (Partial solution for the factorization conjecture of codes). Zbl 0616.68066
De Felice, Clelia; Reutenauer, Christophe
10
1986
Zeta functions of formal languages. Zbl 0797.68092
Berstel, Jean; Reutenauer, Christophe
10
1990
The finite index basis property. Zbl 1357.68115
Berthé, Valérie; De Felice, Clelia; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
10
2015
Minimization of rational word functions. Zbl 0736.68062
Reutenauer, Christophe; Schutzenberger, Marcel-Paul
9
1991
Subsequential functions: Characterizations, minimization, examples. Zbl 0735.68001
Reutenauer, Christophe
9
1990
Sur mon article ”Une topologie du monoide libre”. Zbl 0461.68090
Reutenauer, Christophe
9
1981
Palindromic factors of billiard words. Zbl 1078.68113
Borel, J.-P.; Reutenauer, C.
9
2005
Series formelles reconnaissables d’arbres et applications. Zbl 0522.68077
Berstel, J.; Reutenauer, C.
9
1980
On generalized Lyndon words. Zbl 1426.68229
Dolce, Francesco; Restivo, Antonio; Reutenauer, Christophe
9
2019
Some applications of a theorem of Shirshov to language theory. Zbl 0569.68059
Restivo, Antonio; Reutenauer, Christophe
8
1983
Higher Lie idempotents. Zbl 0956.16017
Patras, Frédéric; Reutenauer, Christophe
8
1999
\(\mathbb{N}\)-rationality of zeta functions. Zbl 0876.68068
Reutenauer, Christophe
8
1997
On Markoff’s property and Sturmian words. Zbl 1103.68102
Reutenauer, Christophe
8
2006
The Fourier expansion of \(\eta (z)\eta (2z)\eta (3z)/\eta (6z)x\). Zbl 1429.11085
Kassel, Christian; Reutenauer, Christophe
8
2017
On cancellation properties of languages which are supports of rational power series. Zbl 0578.68061
Restivo, Antonio; Reutenauer, Christophe
8
1984
Ensembles libres de chemins dans un graphe. (Free sets of paths in a graph). Zbl 0616.05043
Reutenauer, Christophe
7
1986
Sur les semi-groupes vérifiant le théorème de Kleene. Zbl 0575.20055
Reutenauer, Christophe
7
1985
Generalized Lyndon words. (Mots de Lyndon généralisés.) Zbl 1183.68445
Reutenauer, Christophe
7
2005
Lie representations and an algebra containing Solomon’s. Zbl 1056.16032
Patras, Frédéric; Reutenauer, Christophe
7
2002
Counting the ideals of given codimension of the algebra of Laurent polynomials in two variables. Zbl 1423.13111
Kassel, Christian; Reutenauer, Christophe
7
2018
Christoffel words and Markoff triples. Zbl 1245.11042
Reutenauer, Christophe
6
2009
A formula for the determinant of a sum of matrices. Zbl 0628.15005
Reutenauer, Christophe; Schützenberger, Marcel-Paul
6
1987
Noncommutative factorization of variable-length codes. Zbl 0629.68079
Reutenauer, Christophe
6
1985
Sur les variétés de langages et de monoides. Zbl 0411.68066
Reutenauer, Christophe
6
1979
Complexity and palindromic defect of infinite words. Zbl 1209.68395
Brlek, S.; Reutenauer, C.
6
2011
A survey of noncommutative rational series. Zbl 0842.34001
Reutenauer, Christophe
6
1996
Evacuation of labelled graphs. Zbl 0811.05059
Malvenuto, Claudia; Reutenauer, Christophe
6
1994
A symmetry property of Solomon’s algebra and of higher Lie characters. (Eine Symmetrieeigenschaft von Solomons Algebra und der höheren Lie-Charaktere.) Zbl 0996.05118
Jöllenbeck, A.; Reutenauer, C.
6
2001
Semisimplicity of the algebra associated to a biprefix code. Zbl 0481.68076
Reutenauer, Christophe
6
1981
Complete determination of the zeta function of the Hilbert scheme of \(n\) points on a two-dimensional torus. Zbl 1417.05013
Kassel, Christian; Reutenauer, Christophe
6
2018
A bijection between words and multisets of necklaces. Zbl 1244.05016
Gessel, Ira M.; Restivo, Antonio; Reutenauer, Christophe
6
2012
Theorem of Poincaré-Birkhoff-Witt, logarithm and symmetric group representations of degrees equal to Stirling numbers. Zbl 0621.20004
Reutenauer, Christophe
5
1986
Combinatorial resolution of systems of differential equations. III: A special class of differentially algebraic series. Zbl 0757.34009
Bergeron, François; Reutenauer, Christophe
5
1990
Sur les séries associees à certains systèmes de Lindenmayer. Zbl 0456.68084
Reutenauer, Christophe
5
1979
Varieties and rational functions. (Variétés et fonctions rationnelles.) Zbl 0874.68166
Reutenauer, Christophe; Schützenberger, Marcel Paul
5
1995
On symmetric functions related to Witt vectors and the free Lie algebra. Zbl 0823.05059
Reutenauer, Christophe
5
1995
Une interprétation combinatoire des puissances d’un opérateur differentiel linéaire. (A combinatorial interpretation of the powers of a linear differential operator). Zbl 0635.05019
Bergeron, François; Reutenauer, Christophe
5
1987
Hall sets, Lazard sets and comma-free codes. Zbl 1409.94850
Perrin, Dominique; Reutenauer, Christophe
5
2018
Mots circulaires et polynômes irréductibles. (Circular words and irreducible polynomials). Zbl 0686.12010
Reutenauer, Christophe
5
1988
Variable length codes and finite automata. Zbl 1206.94105
Béal, Marie-Pierre; Berstel, Jean; Marcus, Brian H.; Perrin, Dominique; Reutenauer, Christophe; Siegel, Paul H.
4
2010
A proof of Choffrut’s theorem on subsequential functions. Zbl 0913.68120
Bruyère, Véronique; Reutenauer, Christophe
4
1999
Generalized descent patterns in permutations and associated Hopf algebras. Zbl 1235.05154
Novelli, Jean-Christophe; Reutenauer, Christophe; Thibon, Jean-Yves
4
2011
The shuffle algebra on the factors of a word is free. Zbl 0565.68074
Reutenauer, Christophe
4
1985
Specular sets. Zbl 1383.68066
Berthé, Valérie; De Felice, Clelia; Delecroix, Vincent; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
4
2017
Recent results on syntactic groups of prefix codes. Zbl 1272.20062
Berstel, Jean; De Felice, Clelia; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
4
2012
On the Garsia Lie idempotent. Zbl 1100.20016
Patras, Frédéric; Reutenauer, Christophe; Schocker, Manfred
4
2005
Mots de Lyndon et un théorème de Shirshov. (Lyndon words and a theorem of Shirshov). Zbl 0618.05006
Reutenauer, Christophe
3
1986
Algebraicity of the zeta function associated to a matrix over a free group algebra. Zbl 1302.14006
Kassel, Christian; Reutenauer, Christophe
3
2014
On quadratic numbers and forms, and Markoff theory. Zbl 1478.11094
Reutenauer, Christophe
1
2021
From Christoffel words to Markoff numbers. Zbl 1443.11002
Reutenauer, Christophe
15
2019
On generalized Lyndon words. Zbl 1426.68229
Dolce, Francesco; Restivo, Antonio; Reutenauer, Christophe
9
2019
Golden ratio and phyllotaxis, a clear mathematical link. Zbl 1414.51014
Bergeron, François; Reutenauer, Christophe
2
2019
Quasi-automatic semigroups. Zbl 1454.20115
Blanchette, Benjamin; Choffrut, Christian; Reutenauer, Christophe
1
2019
Counting the ideals of given codimension of the algebra of Laurent polynomials in two variables. Zbl 1423.13111
Kassel, Christian; Reutenauer, Christophe
7
2018
Complete determination of the zeta function of the Hilbert scheme of \(n\) points on a two-dimensional torus. Zbl 1417.05013
Kassel, Christian; Reutenauer, Christophe
6
2018
Hall sets, Lazard sets and comma-free codes. Zbl 1409.94850
Perrin, Dominique; Reutenauer, Christophe
5
2018
Combinatorics on words and the theory of Markoff. Zbl 1409.68228
Reutenauer, Christophe
3
2018
Editorial. Music and combinatorics on words: a historical survey. Zbl 1427.00031
2
2018
Birecurrent sets. Zbl 1395.68166
Dolce, Francesco; Perrin, Dominique; Restivo, Antonio; Reutenauer, Christophe; Rindone, Giuseppina
1
2018
The Fourier expansion of \(\eta (z)\eta (2z)\eta (3z)/\eta (6z)x\). Zbl 1429.11085
Kassel, Christian; Reutenauer, Christophe
8
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
Return words of linear involutions and fundamental groups. Zbl 1375.37033
Berthé, Valérie; Delecroix, Vincent; Dolce, Francesco; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
3
2017
Palindromic closures and Thue-Morse substitution for Markoff numbers. Zbl 1467.11029
Reutenauer, Christophe; Vuillon, Laurent
3
2017
On Sillke’s bijection. Zbl 1355.05003
Cori, R.; Reutenauer, C.
1
2017
Number of right ideals and a \(q\)-analogue of indecomposable permutations. Zbl 1337.05110
Bacher, Roland; Reutenauer, Christophe
2
2016
Acyclic, connected and tree sets. Zbl 1309.68160
Berthé, Valérie; De Felice, Clelia; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
23
2015
Maximal bifix decoding. Zbl 1309.68159
Berthé, Valérie; De Felice, Clelia; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
16
2015
Bifix codes and interval exchanges. Zbl 1357.68152
Berthé, Valérie; De Felice, Clelia; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
12
2015
The finite index basis property. Zbl 1357.68115
Berthé, Valérie; De Felice, Clelia; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
10
2015
Specular sets. Zbl 1330.68231
Berthé, Valérie; Felice, Clelia; Delecroix, Vincent; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
3
2015
Studies on finite Sturmian words. Zbl 1325.68174
Reutenauer, Christophe
1
2015
A \(d\)-dimensional extension of Christoffel words. Zbl 1317.05161
Labbé, Sébastien; Reutenauer, Christophe
1
2015
Algebraicity of the zeta function associated to a matrix over a free group algebra. Zbl 1302.14006
Kassel, Christian; Reutenauer, Christophe
3
2014
On a class of Lyndon words extending Christoffel words and related to a multidimensional continued fraction algorithm. Zbl 1298.68206
Melançon, Guy; Reutenauer, Christophe
2
2013
The reciprocal of \(\sum_{n\geq 0}a^nb^n\) for non-commuting \(a\) and \(b\), Catalan numbers and non-commutative quadratic equations. Zbl 1325.16032
Berenstein, Arkady; Retakh, Vladimir; Reutenauer, Christophe; Zeilberger, Doron
2
2013
Bifix codes and Sturmian words. Zbl 1263.68121
Berstel, Jean; De Felice, Clelia; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
14
2012
A bijection between words and multisets of necklaces. Zbl 1244.05016
Gessel, Ira M.; Restivo, Antonio; Reutenauer, Christophe
6
2012
Recent results on syntactic groups of prefix codes. Zbl 1272.20062
Berstel, Jean; De Felice, Clelia; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina
4
2012
On a matrix representation for polynomially recursive sequences. Zbl 1298.05039
Reutenauer, Christophe
3
2012
On an algebraicity theorem of Kontsevich. Zbl 1412.05221
Reutenauer, Christophe; Robado, Marco
1
2012
Mutating seeds: types \(\mathbb{A}\) and \(\tilde{\mathbb{A}}\). Zbl 1259.13013
Assem, Ibrahim; Reutenauer, Christophe
1
2012
Noncommutative rational series with applications. Zbl 1250.68007
Berstel, Jean; Reutenauer, Christophe
74
2011
A self paired Hopf algebra on double posets and a Littlewood-Richardson rule. Zbl 1231.05292
Malvenuto, Claudia; Reutenauer, Christophe
15
2011
Complexity and palindromic defect of infinite words. Zbl 1209.68395
Brlek, S.; Reutenauer, C.
6
2011
Generalized descent patterns in permutations and associated Hopf algebras. Zbl 1235.05154
Novelli, Jean-Christophe; Reutenauer, Christophe; Thibon, Jean-Yves
4
2011
On the superimposition of Christoffel words. Zbl 1209.68402
Paquin, Geneviève; Reutenauer, Christophe
3
2011
Christoffel words and the Calkin-Wilf tree. Zbl 1229.68061
De Luca, Alessandro; Reutenauer, Christophe
3
2011
Codes and automata. Zbl 1187.94001
Berstel, Jean; Perrin, Dominique; Reutenauer, Christophe
66
2010
Friezes. Zbl 1275.13017
Assem, Ibrahim; Reutenauer, Christophe; Smith, David
36
2010
\(SL_k\)-tilings of the plane. Zbl 1236.13018
Bergeron, François; Reutenauer, Christophe
14
2010
Variable length codes and finite automata. Zbl 1206.94105
Béal, Marie-Pierre; Berstel, Jean; Marcus, Brian H.; Perrin, Dominique; Reutenauer, Christophe; Siegel, Paul H.
4
2010
Combinatorics on words. Christoffel words and repetitions in words. Zbl 1161.68043
Berstel, Jean; Lauve, Aaron; Reutenauer, Christophe; Saliola, Franco V.
52
2009
Lyndon + Christoffel = digitally convex. Zbl 1176.68175
Brlek, S.; Lachaud, J.-O.; Provençal, X.; Reutenauer, C.
23
2009
Christoffel words and Markoff triples. Zbl 1245.11042
Reutenauer, Christophe
6
2009
Discrete geometry for computer imagery. 15th IAPR international conference, DGCI 2009, Montréal, Canada, September 30 – October 2, 2009. Proceedings. Zbl 1176.68004
2
2009
Characteristic polynomials of nonnegative integral square matrices and clique polynomials. Zbl 1283.05137
Lavallée, Sylvain; Reutenauer, Christophe
2
2009
A Sturmian sequence related to the uniqueness conjecture for Markoff numbers. Zbl 1173.68049
Bugeaud, Yann; Reutenauer, Christophe; Siksek, Samir
1
2009
Invariants and coinvariants of the symmetric group in noncommuting variables. Zbl 1180.16025
Bergeron, Nantel; Reutenauer, Christophe; Rosas, Mercedes; Zabrocki, Mike
31
2008
On an involution of Christoffel words and Sturmian morphisms. Zbl 1213.68476
Berthé, Valérie; de Luca, Aldo; Reutenauer, Christophe
30
2008
A palindromization map for the free group. Zbl 1155.68066
Kassel, Christian; Reutenauer, Christophe
11
2008
Another proof of Soittola’s theorem. Zbl 1136.68030
Berstel, Jean; Reutenauer, Christophe
3
2008
Michel Fliess and non-commutative formal power series. Zbl 1152.68467
Reutenauer, C.
2
2008
Extension of Brzozowski’s derivation calculus of rational expressions to series over the free partially commutative monoids. Zbl 1145.68030
Berstel, Jean; Reutenauer, Christophe
2
2008
Sturmian morphisms, the braid group \(B_4\), Christoffel words and bases of \(F_2\). Zbl 1150.05042
Kassel, Christian; Reutenauer, Christophe
15
2007
On a zeta function associated with automata and codes. Zbl 1188.68175
Lavallée, Sylvain; Reutenauer, Christophe
1
2007
On Christoffel classes. Zbl 1085.68116
Borel, Jean-Pierre; Reutenauer, Christophe
24
2006
On Markoff’s property and Sturmian words. Zbl 1103.68102
Reutenauer, Christophe
8
2006
Palindromic factors of billiard words. Zbl 1078.68113
Borel, J.-P.; Reutenauer, C.
9
2005
Generalized Lyndon words. (Mots de Lyndon généralisés.) Zbl 1183.68445
Reutenauer, Christophe
7
2005
On the Garsia Lie idempotent. Zbl 1100.20016
Patras, Frédéric; Reutenauer, Christophe; Schocker, Manfred
4
2005
\(P\)-partitions and a multi-parameter Klyachko idempotent. Zbl 1162.17301
McNamara, Peter; Reutenauer, Christophe
2
2005
On the palindromic complexity of infinite words. Zbl 1067.68113
Brlek, S.; Hamel, S.; Nivat, M.; Reutenauer, C.
55
2004
On descent algebras and twisted bialgebras. Zbl 1103.16026
Patras, Frédéric; Reutenauer, Christophe
16
2004
Commutative/noncommutative rank of linear matrices and subspaces of matrices of low rank. Zbl 1069.15011
Fortin, Marc; Reutenauer, Christophe
14
2004
The singular locus of a Schubert variety. Zbl 1032.14012
Kassel, Christian; Lascoux, Alain; Reutenauer, Christophe
21
2003
Lyndon words, permutations and trees. Zbl 1058.68086
Hohlweg, Christophe; Reutenauer, Christophe
14
2003
Free Lie algebras. Zbl 1071.17003
Reutenauer, Christophe
11
2003
On Dynkin and Klyachko idempotents in graded bialgebras. Zbl 1024.16021
Patras, Frédéric; Reutenauer, Christophe
15
2002
Lie representations and an algebra containing Solomon’s. Zbl 1056.16032
Patras, Frédéric; Reutenauer, Christophe
7
2002
A symmetry property of Solomon’s algebra and of higher Lie characters. (Eine Symmetrieeigenschaft von Solomons Algebra und der höheren Lie-Charaktere.) Zbl 0996.05118
Jöllenbeck, A.; Reutenauer, C.
6
2001
Inverses of words and the parabolic structure of the symmetric group. Zbl 0989.05002
Hohlweg, Christophe; Reutenauer, Christophe
1
2001
Factorizations in Schubert cells. Zbl 0981.15009
Kassel, Christian; Lascoux, Alain; Reutenauer, Christophe
2
2000
On the construction of the free field. Zbl 1040.16015
Cohn, P. M.; Reutenauer, C.
15
1999
Higher Lie idempotents. Zbl 0956.16017
Patras, Frédéric; Reutenauer, Christophe
8
1999
A proof of Choffrut’s theorem on subsequential functions. Zbl 0913.68120
Bruyère, Véronique; Reutenauer, Christophe
4
1999
Malcev-Neumann series and the free field. Zbl 0951.16007
Reutenauer, Christophe
2
1999
Noncommutative rational functions and Farber’s invariants of boundary links. Zbl 0971.68103
Retakh, Vladimir; Reutenauer, Christophe; Vaintrob, Arkady
2
1999
Plethysm and conjugation of quasi-symmetric functions. Zbl 1061.05506
Malvenuto, Claudia; Reutenauer, Christophe
13
1998
A Coxeter variant of the Steinberg group. (Une variante à la Coxeter du groupe de Steinberg.) Zbl 0917.19001
Kassel, Christian; Reutenauer, Christophe
1
1998
Combinatorics on words. Foreword by Roger Lyndon. 2nd ed. Zbl 0874.20040
Lothaire, M.
273
1997
A rationality criterion coming from noncommutative geometry. (Un critère de rationalité provenant de la géométrie non commutative.) Zbl 0870.68093
Duchamp, Gérard; Reutenauer, Christophe
12
1997
\(\mathbb{N}\)-rationality of zeta functions. Zbl 0876.68068
Reutenauer, Christophe
8
1997
Inversion height in free fields. Zbl 0857.16021
Reutenauer, C.
19
1996
A survey of noncommutative rational series. Zbl 0842.34001
Reutenauer, Christophe
6
1996
Free Lie superalgebras, trees and chains of partitions. Zbl 0871.17003
Melançon, Guy; Reutenauer, Christophe
3
1996
Cyclic languages and strongly cyclic languages. Zbl 1379.68212
Béal, Marie-Pierre; Carton, Olivier; Reutenauer, Christophe
2
1996
Duality between quasi-symmetric functions and the Solomon descent algebra. Zbl 0838.05100
Malvenuto, Claudia; Reutenauer, Christophe
208
1995
Hopf algebras of tableaux. (Algèbres de Hopf de tableaux.) Zbl 0835.16035
Poirier, Stéphane; Reutenauer, Christophe
40
1995
A generalization of Solomon’s algebra for the hyperoctahedral groups and other wreath products. Zbl 0836.20010
Mantaci, R.; Reutenauer, C.
29
1995
Varieties and rational functions. (Variétés et fonctions rationnelles.) Zbl 0874.68166
Reutenauer, Christophe; Schützenberger, Marcel Paul
5
1995
On symmetric functions related to Witt vectors and the free Lie algebra. Zbl 0823.05059
Reutenauer, Christophe
5
1995
A normal form in free fields. Zbl 0836.16012
Cohn, Paul M.; Reutenauer, Christophe
11
1994
Evacuation of labelled graphs. Zbl 0811.05059
Malvenuto, Claudia; Reutenauer, Christophe
6
1994
Free Lie algebras. Zbl 0798.17001
Reutenauer, Christophe
403
1993
Counting permutations with given cycle structure and descent set. Zbl 0793.05004
Gessel, Ira M.; Reutenauer, Christophe
119
1993
Computing Hall exponents in the free group. Zbl 0793.20029
Melançon, Guy; Reutenauer, Christophe
1
1993
Applications of a noncommutative Jacobian matrix. Zbl 0746.16016
Reutenauer, Christophe
21
1992
Homomorphisms between Solomon’s descent algebras. Zbl 0770.20008
Bergeron, F.; Garsia, A.; Reutenauer, C.
12
1992
...and 55 more Documents
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Cited by 1,620 Authors

75 Reutenauer, Christophe
33 Thibon, Jean-Yves
32 Perrin, Dominique
27 De Felice, Clelia
25 Patras, Frédéric
24 Bergeron, Nantel
24 Novelli, Jean-Christophe
24 Restivo, Antonio
23 Ebrahimi-Fard, Kurusch
22 de Luca, Aldo
22 Droste, Manfred
22 Honkala, Juha
21 Foissy, Loïc
20 Pin, Jean-Eric
19 Pelantová, Edita
19 Steinberg, Benjamin
18 Berthé, Valérie
18 Duchamp, Gerard Henry Edmond
17 Sciortino, Marinella
16 Dolce, Francesco
16 Van Willigenburg, Stephanie J.
15 Starosta, Štěpán
15 Vogler, Heiko
14 Zamboni, Luca Quardo
13 Bergeron, François
13 Maletti, Andreas
13 Pilaud, Vincent
13 Satoh, Takao
13 Varricchio, Stefano
12 Béal, Marie-Pierre
12 Bozapalidis, Symeon
12 Brlek, Srečko
12 Fülöp, Zoltán
12 Gray, W. Steven
12 Hivert, Florent
12 Pirillo, Giuseppe
12 Sakarovitch, Jacques
12 Schocker, Manfred
12 Volčič, Jurij
11 Almeida, Jorge
11 Berstel, Jean
11 Krob, Daniel
11 Rutten, Jan J. M. M.
11 Tan, Yijia
10 Aguiar, Marcelo
10 Fulman, Jason E.
10 Justin, Jacques
10 Labbé, Sébastien
10 Provençal, Xavier
10 Rindone, Giuseppina
10 Roichman, Yuval
9 Choffrut, Christian
9 Ésik, Zoltán
9 Guo, Li
9 Han, Guo-Niu
9 Karhumaki, Juhani
9 Manchon, Dominique
9 Mantaci, Sabrina
9 Morier-Genoud, Sophie
9 Noll, Thomas
9 Rigo, Michel
9 Shallit, Jeffrey O.
9 Vuillon, Laurent
8 Bokut, Leonid A.
8 Diaconis, Persi Warren
8 Hohlweg, Christophe
8 Klep, Igor
8 Leroy, Julien
8 Margolis, Stuart W.
8 Mikhalëv, Aleksandr Aleksandrovich
8 Schilling, Anne
8 Tewari, Vasu V.
7 Adin, Ron M.
7 Blondin Massé, Alexandre
7 Bryant, Roger M.
7 Charlier, Emilie
7 Chen, Yuqun
7 Clampitt, David
7 De Luca, Alessandro
7 Duffaut Espinosa, Luis A.
7 Elizalde, Sergi
7 Foata, Dominique C.
7 Glen, Amy
7 Goldwurm, Massimiliano
7 Hoang Ngoc Minh, Vincel
7 Inenaga, Shunsuke
7 Mafra, Carlos R.
7 Mairesse, Jean
7 Malvenuto, Claudia
7 Mason, Sarah K.
7 Qiao, Youming
7 Rodríguez Caballero, José Manuel
7 Rosone, Giovanna
7 Saliola, Franco V.
7 Schiffler, Ralf
7 Silva, Pedro V.
7 Umirbaev, Ualbaĭ Utmakhanbetovich
7 Wachs, Michelle Lynn
7 Zabrocki, Mike
6 Bell, Jason P.
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Cited in 271 Serials

235 Theoretical Computer Science
87 Journal of Algebra
67 Advances in Mathematics
63 Journal of Algebraic Combinatorics
59 Journal of Combinatorial Theory. Series A
52 Discrete Mathematics
46 Advances in Applied Mathematics
43 International Journal of Algebra and Computation
40 Journal of Pure and Applied Algebra
39 European Journal of Combinatorics
35 Semigroup Forum
33 Transactions of the American Mathematical Society
28 Information and Computation
25 Communications in Algebra
24 The Electronic Journal of Combinatorics
24 Séminaire Lotharingien de Combinatoire
21 Linear Algebra and its Applications
21 Annals of Combinatorics
20 Information Processing Letters
16 RAIRO. Informatique Théorique et Applications
15 Journal of Mathematical Sciences (New York)
15 RAIRO. Theoretical Informatics and Applications
14 Discrete Applied Mathematics
14 International Journal of Foundations of Computer Science
13 Proceedings of the American Mathematical Society
12 Communications in Mathematical Physics
12 Journal of Symbolic Computation
12 RAIRO. Theoretical Informatics and Applications
11 Acta Informatica
11 Journal of Computer and System Sciences
11 Journal of Number Theory
11 Algebraic Combinatorics
10 Linear and Multilinear Algebra
10 Theory of Computing Systems
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Journal of Mathematics and Music
9 Algebraic & Geometric Topology
8 Israel Journal of Mathematics
8 Journal of Functional Analysis
8 Mathematische Zeitschrift
8 Ergodic Theory and Dynamical Systems
8 Selecta Mathematica. New Series
8 Algebras and Representation Theory
8 Journal of High Energy Physics
8 Foundations of Computational Mathematics
7 Letters in Mathematical Physics
7 Annales de l’Institut Fourier
7 Archiv der Mathematik
7 Monatshefte für Mathematik
7 Journal of Dynamical and Control Systems
7 Journal of Algebra and its Applications
6 Automatica
6 SIAM Journal on Discrete Mathematics
6 The Ramanujan Journal
6 International Journal of Number Theory
6 Logical Methods in Computer Science
5 Computer Physics Communications
5 Algebra Universalis
5 Bulletin de la Société Mathématique de France
5 Information Sciences
5 Journal of Soviet Mathematics
5 RAIRO, Informatique Théorique
5 Systems & Control Letters
5 MSCS. Mathematical Structures in Computer Science
5 Journal de Théorie des Nombres de Bordeaux
5 Annales Mathématiques Blaise Pascal
5 Integers
5 Forum of Mathematics, Sigma
4 Fuzzy Sets and Systems
4 Inventiones Mathematicae
4 Kybernetika
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 International Journal of Computer Mathematics
4 Documenta Mathematica
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4 Journal of Discrete Algorithms
3 Bulletin of the Australian Mathematical Society
3 Journal of Mathematical Analysis and Applications
3 Journal of Mathematical Physics
3 Journal of Geometry and Physics
3 The Annals of Probability
3 Bulletin of the London Mathematical Society
3 Geometriae Dedicata
3 Glasgow Mathematical Journal
3 Journal of Differential Equations
3 Mathematische Annalen
3 Mathematics and Computers in Simulation
3 SIAM Journal on Computing
3 Acta Applicandae Mathematicae
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Computational Complexity
3 Turkish Journal of Mathematics
3 Finite Fields and their Applications
3 Transformation Groups
3 Vietnam Journal of Mathematics
3 Soft Computing
3 Geometry & Topology
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 SIAM Journal on Applied Algebra and Geometry
2 International Journal of Modern Physics A
...and 171 more Serials
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Cited in 58 Fields

713 Computer science (68-XX)
551 Combinatorics (05-XX)
386 Group theory and generalizations (20-XX)
374 Associative rings and algebras (16-XX)
200 Nonassociative rings and algebras (17-XX)
198 Number theory (11-XX)
79 Linear and multilinear algebra; matrix theory (15-XX)
78 Commutative algebra (13-XX)
78 Algebraic geometry (14-XX)
74 Order, lattices, ordered algebraic structures (06-XX)
72 Probability theory and stochastic processes (60-XX)
62 Dynamical systems and ergodic theory (37-XX)
60 Category theory; homological algebra (18-XX)
53 Quantum theory (81-XX)
50 Mathematical logic and foundations (03-XX)
45 Convex and discrete geometry (52-XX)
45 Information and communication theory, circuits (94-XX)
43 Systems theory; control (93-XX)
26 Special functions (33-XX)
26 Ordinary differential equations (34-XX)
26 Algebraic topology (55-XX)
26 Manifolds and cell complexes (57-XX)
24 General algebraic systems (08-XX)
24 Topological groups, Lie groups (22-XX)
19 Operator theory (47-XX)
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15 Field theory and polynomials (12-XX)
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