mémoires
publications
Petites groupes gaussiens
Thèse de Doctorat de l'Université de Caen (2000)
Automates, (semi)groupes, dualités
Habilitation à Diriger des Recherches de l'Université Paris Diderot (2017)
The conjugacy problem in Garside groups
Communications in Algebra 29-3 (2001) 1021–1039
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The center of Garside groups
Journal of Algebra 245-1 (2001) 92–122
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Explicit presentations for the dual braid monoids
C. R. Académie Sciences Paris, Série I 334 (2002) 843–848
Automatic structures for torus link groups
Journal of Knot Theory & its Ramifications 12-6 (2003) 833–866
Garside monoids vs divisibility monoids
Mathematical Structures in Computer Science 15-2 (2005) 231–242
Finite transducers for divisibility monoids
Theoretical Computer Science 362 (2006) 207–221
A new Garside structure for braids groups of type (e,e,r)
with Ruth Corran
Journal of the London Mathematical Society 84-3 (2011) 689–711
On the finiteness problem for automaton (semi)groups
with Ali Akhavi, Ines Klimann, Sylvain Lombardy, and Jean Mairesse
International Journal of Algebra and Computation 22-6 (2012) 1–26
Implementing computations in automaton (semi)groups
with Ines Klimann and Jean Mairesse
17th International Conference on Implementation and Application of Automata (CIAA'12)
Lecture Notes in Computer Science 7381 (2012) 240––252
A characterization of those automata that structurally generate finite groups
with Ines Klimann
11th Latin American symposium on Theoretical INformatics (LATIN'14)
Lecture Notes in Computer Science 8392 (2014) 180–189
A connected 3-state reversible Mealy automaton cannot generate an infinite Burnside group
with Ines Klimann and Dmytro Savchuk
19th International Conference on Developments in Language Theory (DLT'15)
Lecture Notes in Computer Science 9168 (2015) 313–325
On torsion-free semigroups generated by invertible reversible Mealy automata
with Thibault Godin and Ines Klimann
9th International Conference on Language and Automata Theory and Applications (LATA'15)
Lecture Notes in Computer Science 8977 (2015) 328–339
Orbit automata as a new tool to attack the order problem in automaton groups
with Ines Klimann and Dmytro Savchuk
Journal of Algebra 445 (2016) 433–457
Automaton (semi)groups: Wang tilings and Schreier tries
with Ines Klimann
Chapter 10 of the book Sequences, Groups, and Number Theory
Trends in Mathematics, ISBN 978-3-319-69152-7
A new hierarchy for automaton semigroups
with Laurent Bartholdi, Thibault Godin, and Ines Klimann
23rd International Conference on Implementation and Application of Automata (CIAA'18)
Lecture Notes in Computer Science 10977 (2018) 71–83
Automatic semigroups vs automaton semigroups
46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)
Leibniz International Proceedings in Informatics 132 (2019) 1–15
Boundary dynamics for bireversible and for contracting automaton groups
with Daniele D'Angeli, Thibault Godin, Ines Klimann, and Emanuele Rodaro
International Journal of Algebra and Computation 30-2 (2020) 431–449
A new hierarchy for automaton semigroups
with Laurent Bartholdi, Thibault Godin, Ines Klimann, and Camille Noûs
International Journal of Foundations of Computer Science 31-8 (2021) 1069–1089
Cyclic amalgams, HNN extensions, and Garside one-relator groups
Journal of Algebra 608-B (2022) 437–465
Some torus knot and Baumslag–Solitar groups as automaticon extensions of Artin–Tits groups
in preparation
Selfdual lattices and permeable lattices
in preparation
A triple duality in the hyperoctahedral (braid) groups
in preparation
A (not so) wild Garside structure for hyperoctahedral braid groups
in preparation
© Matthieu Picantin