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Valerie Berthe
Valerie Berthe
IRIF, CNRS
Verified email at irif.fr - Homepage
Title
Cited by
Cited by
Year
Substitutions in dynamics, arithmetics and combinatorics
NP Fogg, V Berthé, S Ferenczi, C Mauduit, A Siegel
Springer Berlin Heidelberg, 2002
10362002
Combinatorics, automata and number theory
V Berthé, M Rigo
Cambridge University Press, 2010
2502010
Three distance theorems and combinatorics on words
P Alessandri, V Berthé
Enseignement Mathématique 44, 103-132, 1998
1821998
Tilings associated with beta-numeration and substitutions
V Berthé, A Siegel
Integers 5 (3), A2, 2005
1382005
Tilings and rotations on the torus: a two-dimensional generalization of Sturmian sequences
V Berthé, L Vuillon
Discrete Mathematics 223 (1-3), 27-53, 2000
1262000
Dynamical directions in numeration
G Barat, V Berthé, P Liardet, J Thuswaldner
Annales de l'institut Fourier 56 (7), 1987-2092, 2006
1062006
Beyond substitutive dynamical systems: S-adic expansions
V Berthé, V Delecroix
arXiv preprint arXiv:1309.3960, 2013
972013
Initial powers of Sturmian sequences
V Berthé, C Holton, LQ Zamboni
ACTA ARITHMETICA-WARSZAWA- 122 (4), 315, 2006
932006
On an involution of Christoffel words and Sturmian morphisms
V Berthé, A De Luca, C Reutenauer
European Journal of Combinatorics 29 (2), 535-553, 2008
812008
Discrete planes, -actions, Jacobi-Perron algorithm and substitutions
P Arnoux, V Berthé, S Ito
Annales de l'institut Fourier 52 (2), 305-349, 2002
812002
On the Pisot substitution conjecture
S Akiyama, M Barge, V Berthé, JY Lee, A Siegel
Mathematics of aperiodic order, 33-72, 2015
772015
Fréquences des facteurs des suites sturmiennes
V Berthé
Theoretical computer science 165 (2), 295-309, 1996
751996
Recognizability for sequences of morphisms
V Berthé, W Steiner, JM Thuswaldner, R Yassawi
Ergodic theory and dynamical systems 39 (11), 2896-2931, 2019
722019
On continued fraction expansions in positive characteristic: equivalence relations and some metric properties
V Berthé, H Nakada
Expo. Math 18 (4), 257-284, 2000
702000
Acyclic, connected and tree sets
V Berthé, C De Felice, F Dolce, J Leroy, D Perrin, C Reutenauer, ...
Monatshefte für Mathematik 176 (4), 521-550, 2015
662015
Autour du système de numération d'Ostrowski
V Berthé
Bulletin of the Belgian Mathematical Society-Simon Stevin 8 (2), 209-239, 2001
612001
Interactions between dynamics, arithmetics and combinatorics: the good, the bad, and the ugly
V Berthé, S Ferenczi, LQ Zamboni
Contemporary Mathematics 385, 333, 2005
592005
Two-dimensional iterated morphisms and discrete planes
P Arnoux, V Berthé, A Siegel
Theoretical Computer Science 319 (1-3), 145-176, 2004
542004
Tilings, quasicrystals, discrete planes, generalized substitutions, and multidimensional continued fractions
P Arnoux, V Berthé, H Ei, S Ito
Discrete Mathematics & Theoretical Computer Science, 2001
532001
Purely periodic β-expansions in the Pisot non-unit case
V Berthe, A Siegel
Journal of Number Theory 127 (2), 153-172, 2007
492007
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