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Dominique Perrin

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On the dimension group of unimodular ${\mathcal {S}}$-adic subshifts

Valérie Berthé , Paulina Cecchi Bernales , Fabien Durand , Dominique Perrin , J. Leroy
Monatshefte für Mathematik, 2021, 194 (4), pp.687-717. ⟨10.1007/s00605-020-01488-3⟩
Journal articles hal-03134044v1
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Graded alphabets, circular codes, free Lie algebras and comma-free codes

Dominique Perrin , Christophe Reutenauer
Discrete Mathematics, 2021, 344 (1), ⟨10.1016/j.disc.2020.112167⟩
Journal articles hal-03134035v1

On the group of a rational maximal bifix code

Jorge Almeida , Alfredo Costa , Revekka Kyriakoglou , Dominique Perrin
Forum Mathematicum, 2020, 32 (3), pp.553-576. ⟨10.1515/forum-2018-0270⟩
Journal articles hal-03226871v1
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Eventually dendric shifts

Francesco Dolce , Dominique Perrin
Ergodic Theory and Dynamical Systems, 2020, ⟨10.1017/etds.2020.35⟩
Journal articles hal-03134086v1
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A Survey on Difference Hierarchies of Regular Languages

Olivier Carton , Dominique Perrin , Jean-Eric Pin
Logical Methods in Computer Science, 2018, 14, pp.1 - 23. ⟨10.23638/LMCS-14(1:24)2018⟩
Journal articles hal-02104436v1

Birecurrent sets

Francesco Dolce , Dominique Perrin , Antonio Restivo , Christophe Reutenauer , Giuseppina Rindone
International Journal of Algebra and Computation, 2018, 28 (04), pp.613-652. ⟨10.1142/S0218196718500285⟩
Journal articles hal-03134002v1
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Rigidity and Substitutive Dendric Words

Valerie Berthe , Francesco Dolce , Fabien Durand , Julien Leroy , Dominique Perrin
International Journal of Foundations of Computer Science, 2018, 29 (05), pp.705-720. ⟨10.1142/S0129054118420017⟩
Journal articles hal-02458711v1

Hall sets, Lazard sets and comma-free codes

Dominique Perrin , Christophe Reutenauer
Discrete Mathematics, 2018, 341 (1), pp.232-243. ⟨10.1016/j.disc.2017.08.034⟩
Journal articles hal-01804538v1

Theoretical Computer Science

V. Berthé , Clelia de Felice , Vincent Delecroix , Francesco Dolce , Julien Leroy
Theoretical Computer Science, 2017, 684 (05), pp.3-28. ⟨10.1016/j.tcs.2017.03.001⟩
Journal articles hal-02364465v1
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Return words of linear involutions and fundamental groups

Valérie Berthé , Vincent Delecroix , Francesco Dolce , Dominique Perrin , Christophe Reutenauer
Ergodic Theory and Dynamical Systems, 2017, 37 (3), pp.693-715. ⟨10.1017/etds.2015.74⟩
Journal articles hal-01367712v1
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Neutral and tree sets of arbitrary characteristic

Francesco Dolce , Dominique Perrin
Theoretical Computer Science, 2017, 658 (part A), pp.159-174. ⟨10.1016/j.tcs.2016.01.008⟩
Journal articles hal-01367718v1
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The finite index basis property

Valérie Berthé , Clelia de Felice , Francesco Dolce , Julien Leroy , Dominique Perrin
Journal of Pure and Applied Algebra, 2015, ⟨10.1016/j.jpaa.2014.09.014⟩
Journal articles hal-01367681v1
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Maximal bifix decoding

Valérie Berthé , Clelia de Felice , Francesco Dolce , Julien Leroy , Dominique Perrin
Contributions to Discrete Mathematics, 2015, 338 (5), pp.725-742. ⟨10.1016/j.disc.2014.12.010⟩
Journal articles hal-01121880v1
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Bifix codes and interval exchanges

Valérie Berthé , Clelia de Felice , Francesco Dolce , Julien Leroy , Dominique Perrin
Journal of Pure and Applied Algebra, 2015, ⟨10.1016/j.jpaa.2014.09.028⟩
Journal articles hal-01367685v1
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A quadratic algorithm for road coloring

Marie-Pierre Béal , Dominique Perrin
Discrete Applied Mathematics, 2014, 169 (-), pp.15-29. ⟨10.1016/j.dam.2013.12.002⟩
Journal articles hal-00627821v2
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Acyclic, connected and tree sets

Valérie Berthé , Clelia de Felice , Francesco Dolce , Julien Leroy , Dominique Perrin
Monatshefte für Mathematik, 2014, ⟨10.1007/s00605-014-0721-4⟩
Journal articles hal-01121887v1
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Completely reducible sets

Dominique Perrin
International Journal of Algebra and Computation, 2013, 23 (4), pp.915-942. ⟨10.1142/S0218196713400158⟩
Journal articles hal-00790760v1

Discrete mathematical structures: From dynamics to complexity

Cristian Calude , Bruno Durand , Anahí Gajardo , Dominique Perrin , Ivan Rapaport
Theoretical Computer Science, 2013, 504, pp.3-4. ⟨10.1016/j.tcs.2013.09.001⟩
Journal articles lirmm-01480616v1
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Bifix codes and Sturmian words

Jean Berstel , Clelia de Felice , Dominique Perrin , Christophe Reutenauer , Giuseppina Rindone
Journal of Algebra, 2012, 369 (1), pp.146-202. ⟨10.1016/j.jalgebra.2012.07.013⟩
Journal articles hal-00793907v1
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A note on Sturmian words

Dominique Perrin , Antonio Restivo
Theoretical Computer Science, 2012, 429 (1), pp.265-272. ⟨10.1016/j.tcs.2011.12.047⟩
Journal articles hal-00828351v1
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Recent results on syntactic groups of prefix codes

Jean Berstel , Clelia de Felice , Dominique Perrin , Christophe Reutenauer , Giuseppina Rindone
European Journal of Combinatorics, 2012, 33 (7), pp.1386-1401
Journal articles hal-00790638v1
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A quadratic upper bound on the size of a synchronizing word in one-cluster automata

Marie-Pierre Béal , Mikhail V. Berlinkov , Dominique Perrin
International Journal of Foundations of Computer Science, 2011, 22 (2), pp.277-288. ⟨10.1142/S0129054111008039⟩
Journal articles hal-00619778v1
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On the groups of codes with empty kernel

Jean Berstel , Clelia de Felice , Dominique Perrin , Giuseppina Rindone
Semigroup Forum, 2010, 80 (3), pp.351-374
Journal articles hal-00790630v1
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Codes and noncommutative stochastic matrices

Sylvain Lavallée , Christophe Reutenauer , Vladimir Retakh , Dominique Perrin
Journal of Noncommutative Geometry, 2010, 4 (4), pp.531-554. ⟨10.4171/JNCG/65⟩
Journal articles hal-00793906v1
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Embeddings of local automata

Marie-Pierre Béal , Sylvain Lombardy , Dominique Perrin
Illinois Journal of Mathematics, 2010, 54 (1), pp.155-174
Journal articles hal-00619770v1
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Completing codes in a sofic shift

Marie-Pierre Béal , Dominique Perrin
Theoretical Computer Science, 2009, 410 (43), pp.4423-4431
Journal articles hal-00619734v1

Unambiguous automata

Marie-Pierre Béal , Eugen Czeizler , Jarkko Kari , Dominique Perrin
Mathematics in Computer Science, 2008, 1 (4), pp.625-638
Journal articles hal-00619733v1

The origins of combinatorics on words

Jean Berstel , Dominique Perrin
European Journal of Combinatorics, 2007, 28 (3), pp.996-1022
Journal articles hal-00619483v1
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Codes, unambiguous automata and sofic systems

Marie-Pierre Béal , Dominique Perrin
Theoretical Computer Science, 2006, 356 (1-2), pp.6-13
Journal articles hal-00619226v1
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The syntactic graph of a sofic shift is invariant under shift equivalence

Marie-Pierre Béal , Francesca Fiorenzi , Dominique Perrin
International Journal of Algebra and Computation, 2006, 16 (3), pp.443-460
Journal articles hal-00619735v1
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Codes and sofic constraints

Marie-Pierre Béal , Dominique Perrin
Theoretical Computer Science, 2005, 340 (2), pp.381-393
Journal articles hal-00619227v1

A hierarchy of shift equivalent sofic shifts

Marie-Pierre Béal , Francesca Fiorenzi , Dominique Perrin
Theoretical Computer Science, 2005, 345 (2-3), pp.390-205
Journal articles hal-00619229v1
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A note on the Burrows-Wheeler transformation

Maxime Crochemore , Jacques Désarménien , Dominique Perrin
Theoretical Computer Science, 2005, 332 (1-3), pp.567-572. ⟨10.1016/j.tcs.2004.11.014⟩
Journal articles hal-00004249v1
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Unavoidable sets of constant length

Jean-Marc Champarnaud , Georges Hansel , Dominique Perrin
International Journal of Algebra and Computation, 2004, 14 (1), pp.241-251. ⟨10.1142/S0218196704001700⟩
Journal articles hal-00619542v1
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On the generating sequences of regular languages on k-symbols

Marie-Pierre Béal , Dominique Perrin
Journal of the ACM (JACM), 2003, 50 (6), pp.955-980. ⟨10.1145/950620.950625⟩
Journal articles hal-00619228v1
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A weak equivalence between shifts of finite type

Marie-Pierre Béal , Dominique Perrin
Advances in Applied Mathematics, 2002, 29 (2), pp.162-171
Journal articles hal-00619322v1

Ensembles inévitables

Guo-Niu Han , Dominique Perrin
Seminaire Lotharingien de Combinatoire, 2002, 47 (B47e), pp.16
Journal articles hal-00321348v1
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A finite state version of the Kraft-McMillan theorem

Frédérique Bassino , Marie-Pierre Béal , Dominique Perrin
SIAM Journal on Computing, 2000, 30 (4), pp.1211-1230
Journal articles hal-00619334v1
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Les automates finis

Dominique Perrin
Revue des Sciences et Technologies de l'Information - Série TSI : Technique et Science Informatiques, 2000, 19 (3), pp.395-402
Journal articles hal-00793910v1

Ouverture

Dominique Perrin
Travaux et Recherches de l'UMLV, 1999, pp.4
Journal articles hal-03780268v1
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Enumerative sequences of leaves and nodes in rational trees

Frédérique Bassino , Marie-Pierre Béal , Dominique Perrin
Theoretical Computer Science, 1999, 221 (1-2), pp.41-60
Journal articles hal-00619336v1
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Les débuts de la théorie des automates

Dominique Perrin
Revue des Sciences et Technologies de l'Information - Série TSI : Technique et Science Informatiques, 1995, 14 (4), pp.409-433
Journal articles hal-00793909v1
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On the expressive power of temporal logic for finite words

Joelle Cohen , Dominique Perrin , Jean-Eric Pin
Journal of Computer and System Sciences, 1993, 46, pp.271-294. ⟨10.1016/0022-0000(93)90005-H⟩
Journal articles hal-00020069v1

Two-way string-matching

Maxime Crochemore , Dominique Perrin
J. Assoc. Comput. Mach., 1991, 38 (3), pp.651-675
Journal articles hal-00619582v1

Critical factorizations of words

Maxime Crochemore , Dominique Perrin
Bulletin- European Association for Theoretical Computer Science, 1988, 34 (1), pp.47-52
Journal articles hal-00619591v1

Trends in the theory of codes

Jean Berstel , Dominique Perrin
Bulletin- European Association for Theoretical Computer Science, 1986, 29 (1), pp.84-95
Journal articles hal-00619484v1

Une caractérisation des ensembles sofiques

Marie-Pierre Béal , Dominique Perrin
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1986, 303 (6), pp.255-257
Journal articles hal-00619328v1
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Codes and automata in minimal sets

Dominique Perrin
WORDS 2015, Sep 2015, Kiel, Germany. pp.35-46, ⟨10.1007/978-3-319-23660-5_4⟩
Conference papers hal-01855957v1
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Specular Sets

Valérie Berthé , Clelia de Felice , Vincent Delecroix , Francesco Dolce , Julien Leroy
WORDS 2015, Sep 2015, Kiel, Germany. pp.210-222, ⟨10.1007/978-3-319-23660-5_18⟩
Conference papers hal-01367700v1
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Toward a timed theory of channel coding

Eugene Asarin , Nicolas Basset , Marie-Pierre Béal , Aldric Degorre , Dominique Perrin
FORMATS, 2012, United Kingdom. pp.27-42, ⟨10.1007/978-3-642-33365-1_4⟩
Conference papers hal-00793143v1
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Generating functions of timed languages

Eugene Asarin , Nicolas Basset , Aldric Degorre , Dominique Perrin
MFCS 2012, Aug 2012, Bratislava, Slovakia. pp.124-135, ⟨10.1007/978-3-642-32589-2_14⟩
Conference papers hal-00678443v2
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A quadratic upper bound on the size of a synchronizing word in one-cluster automata

Marie-Pierre Béal , Dominique Perrin
13th International Conference on Developments in Language Theory (DLT 2009), Jun 2009, Stuttgart, Germany. pp.81-90, ⟨10.1007/978-3-642-02737-6_6⟩
Conference papers hal-00620310v1
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Embeddings of local automata

Marie-Pierre Béal , Sylvain Lombardy , Dominique Perrin
IEEE International Symposium on Information Theory (ISIT'08), Jul 2008, United States. pp.2351-2355
Conference papers hal-00620271v1

Variants of the road coloring problem

Dominique Perrin
Journées Montoises d'Informatique Théorique, 2008, France
Conference papers hal-00620455v1

Road Coloring

Dominique Perrin
London Stringology Days and Algorithmic Workshop, 2008, France
Conference papers hal-00620456v1

Embeddings of automata

Dominique Perrin
AutoMathA, 2007, France
Conference papers hal-00620457v1

Theory and practice: the applications of combinatorics on words

Dominique Perrin
STIC-AMSUD, Oct 2006, France
Conference papers hal-00620454v1
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A hierarchy of irreducible sofic shifts

Marie-Pierre Béal , Francesca Fiorenzi , Dominique Perrin
29th International Symposium on Mathematical Foundations of Computer Science 2004, 2004, Czech Republic. pp.611-622
Conference papers hal-00619854v1
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The syntactic graph of a sofic shift

Marie-Pierre Béal , Francesca Fiorenzi , Dominique Perrin
21st International Symposium on Theoretical Aspects of Computer Science (STACS 2004), Mar 2004, Montpellier, France. pp.282-293
Conference papers hal-00619853v1
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Complete codes in a sofic shift

Marie-Pierre Béal , Dominique Perrin
19th International Symposium on Theoretical Aspects of Computer Science (STACS 2002), 2002, France. pp.547-558
Conference papers hal-00619856v1
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Length distributions and regular sequences

Frédérique Bassino , Marie-Pierre Béal , Dominique Perrin
Codes, systems, and graphical models (Minneapolis, MN, 1999), 2001, United States. pp.415-437
Conference papers hal-00619863v1
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Super-state automata and rational trees

Frédérique Bassino , Marie-Pierre Béal , Dominique Perrin
3rd Latin American Theoretical INformatics (LATIN'98), Apr 1998, Campinas, Brazil. pp.42-52
Conference papers hal-00619862v1

Enumerative sequences of leaves in rational trees

Frédérique Bassino , Marie-Pierre Béal , Dominique Perrin
International Colloquium on Automata, Languages and Programming (ICALP 1997), 1997, Italy. pp.76-86
Conference papers hal-00619864v1

Pattern matching in strings

Maxime Crochemore , Dominique Perrin
Proceedings of the 4th conference on Image Analysis and Processing (Cefalù, 1988), 1988, France. pp.67-79
Conference papers hal-00619999v1

Dimension Groups and Dynamical Systems

Fabien Durand , Dominique Perrin
Cambridge University Press, 196, 2022, Cambridge Studies in Advanced Mathematics, ⟨10.1017/9781108976039⟩
Books hal-03746074v1

Codes and Automata

Jean Berstel , Dominique Perrin , Christophe Reutenauer
Cambridge University Press, 129, 619pp., 2009, Encyclopedia of Mathematics and its Applications
Books hal-00620616v1

Applied Combinatorics on Words

Jean Berstel , Dominique Perrin
Cambridge University Press, 105, 610pp., 2005, Encyclopedia of Mathematics and its Applications
Books hal-00620613v1

Infinite Words: Automata, Semigroups, Logic and Games

Jean-Eric Pin , Dominique Perrin
Elsevier, pp.538, 2004
Books hal-00112831v1

Infinite Words, Automata, Semigroups, Logic and Games

Dominique Perrin , Jean-Eric Pin
Elsevier, 141, 550pp., 2004
Books hal-00619830v1

Theory of codes

Jean Berstel , Dominique Perrin
Academic Press Inc., 117, pp.xiv+433, 1985, Pure and Applied Mathematics
Books hal-00619780v1

Enumerative combinatorics on words

Dominique Perrin , Antonio Restivo
Miklos Bona. Handbook of Enumerative Combinatorics, CRC Press, 2015, 9781482220858
Book sections hal-01121901v1
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Enumeration Formulæ in Neutral Sets

Francesco Dolce , Dominique Perrin
Developments in Language Theory, 2015, ⟨10.1007/978-3-319-21500-6_17⟩
Book sections hal-01367707v1
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Variable-length codes and finite automata

Marie-Pierre Béal , Jean Berstel , Brian H. Marcus , Dominique Perrin , Christophe Reutenauer
I. Woungang, S. Misra et S. Chandra Misra. Selected Topics in Information and Coding Theory, World Scientific, pp.505-584, 2010, Series on Coding Theory and Cryptology, 978-981-283-716-5
Book sections hal-00620817v1
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Automata and semigroups recognizing infinite words

Olivier Carton , Dominique Perrin , Jean-Eric Pin
J. Flum, E. Grädel and T. Wilke. Logic and Automata, History and perspectives, Amsterdam University Press, pp.585-596, 2007
Book sections hal-00340797v1

Automi e linguaggi formali

Dominique Perrin
Petruccioli Sandro. Storia della Scienza, IX, Istituto della Enciclopedia Italiana, pp.197-205, 2003
Book sections hal-00620806v1

Finite and infinite words

Jean Berstel , Dominique Perrin
Lothaire M. Algebraic Combinatorics on Words, Cambridge University Press, pp.1-39, 2002
Book sections hal-00620767v1
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Enumerative combinatorics on words

Dominique Perrin
Crapo Henri, Rota Gian-Carlo. Algebraic Combinatorics and Computer Science, Springer-Verlag, pp.391-430, 2001
Book sections hal-00620805v1

Chapter 10: Symbolic dynamics and finite automata

Marie-Pierre Béal , Dominique Perrin
Rosenberg G., Salomaa A. Handbook of formal languages, 2, Springer-Verlag, pp.463-505, 1997
Book sections hal-00620643v1

Les automates finis

Maxime Crochemore , Dominique Perrin , Jean-Eric Pin
?. Le Courrier du C.N.R.S., la recherche en informatique, C.N.R.S., pp.48-51, 1993
Book sections hal-00620850v1