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Author ID: durand.fabien Recent zbMATH articles by "Durand, Fabien"
Published as: Durand, Fabien; Durand, F.
Homepage: http://www.lamfa.u-picardie.fr/fdurand/
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Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 794 times in 468 Documents Cited by Year
Substitutional dynamical systems, Bratteli diagrams and dimension groups. Zbl 1044.46543
Durand, F.; Host, B.; Skau, C.
121
1999
A characterization of substitutive sequences using return words. Zbl 0895.68087
Durand, Fabien
110
1998
Linearly recurrent subshifts have a finite number of non-periodic subshift factors. Zbl 0965.37013
Durand, Fabien
92
2000
Minimal polynomial dynamics on the set of 3-adic integers. Zbl 1175.37048
Durand, Fabien; Paccaut, Frédéric
41
2009
On automorphism groups of low complexity subshifts. Zbl 1354.37024
Donoso, Sebastián; Durand, Fabien; Maass, Alejandro; Petite, Samuel
39
2016
Combinatorics on Bratteli diagrams and dynamical systems. Zbl 1272.37006
Durand, Fabien
38
2010
A generalization of Cobham’s theorem. Zbl 0895.68081
Durand, F.
24
1998
Cobham’s theorem for substitutions. Zbl 1246.11073
Durand, Fabien
23
2011
Necessary and sufficient conditions to be an eigenvalue for linearly recurrent dynamical Cantor systems. Zbl 1095.54016
Bressaud, Xavier; Durand, Fabien; Maass, Alejandro
19
2005
Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems. Zbl 1045.54011
Cortez, Maria Isabel; Durand, Fabien; Host, Bernard; Maass, Alejandro
18
2003
On the eigenvalues of finite rank Bratteli-Vershik dynamical systems. Zbl 1204.37008
Bressaud, Xavier; Durand, Fabien; Maass, Alejandro
18
2010
Constant-length substitutions and countable scrambled sets. Zbl 1057.37006
Blanchard, François; Durand, Fabien; Maass, Alejandro
15
2004
Decidability of the HD0L ultimate periodicity problem. Zbl 1361.68112
Durand, Fabien
14
2013
Do the properties of an \(S\)-adic representation determine factor complexity? Zbl 1354.68214
Durand, Fabien; Leroy, Julien; Richomme, Gwenaël
14
2013
Eigenvalues of minimal Cantor systems. Zbl 1416.54018
Durand, Fabien; Frank, Alexander; Maass, Alejandro
13
2019
A theorem of Cobham for nonprimitive substitutions. Zbl 1014.11016
Durand, Fabien
12
2002
Interplay between finite topological rank minimal Cantor systems, \( \mathcal S\)-adic subshifts and their complexity. Zbl 1465.37016
Donoso, Sebastián; Durand, Fabien; Maass, Alejandro; Petite, Samuel
11
2021
Syndeticity and independent substitutions. Zbl 1160.68028
Durand, Fabien; Rigo, Michel
11
2009
On automorphism groups of Toeplitz subshifts. Zbl 1404.37013
Donoso, Sebastian; Durand, Fabien; Maass, Alejandro; Petite, Samuel
10
2017
Dimension groups and dynamical systems. Substitutions, Bratteli diagrams and Cantor systems. Zbl 1493.37002
Durand, Fabien; Perrin, Dominique
10
2022
Factors of Toeplitz flows and other almost 1-1 extensions over group rotations. Zbl 1023.37004
Downarowicz, T.; Durand, F.
10
2002
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.
10
2021
Decidability of uniform recurrence of morphic sequences. Zbl 1286.68279
Durand, Fabien
9
2013
Multidimensional extension of the Morse-Hedlund theorem. Zbl 1338.68227
Durand, Fabien; Rigo, Michel
9
2013
Rigidity and substitutive dendric words. Zbl 1448.68365
Berthé, V.; Dolce, F.; Durand, F.; Leroy, J.; Perrin, D.
9
2018
Eigenvalues of Toeplitz minimal systems of finite topological rank. Zbl 1356.37013
Durand, Fabien; Frank, Alexander; Maass, Alejandro
8
2015
Eigenvalues and strong orbit equivalence. Zbl 1375.37008
Cortez, María Isabel; Durand, Fabien; Petite, Samuel
8
2016
Self-induced systems. Zbl 1408.37033
Durand, Fabien; Ormes, Nicholas; Petite, Samuel
8
2018
\(S\)-adic conjecture and Bratteli diagrams. Zbl 1278.37017
Durand, Fabien; Leroy, Julien
7
2012
On recognizable sets of integers. (Sur les ensembles d’entiers reconnaissables.) Zbl 1046.11500
Durand, Fabien
7
1998
Linearly repetitive Delone sets. Zbl 1376.37044
Aliste-Prieto, José; Coronel, Daniel; Cortez, María Isabel; Durand, Fabien; Petite, Samuel
6
2015
HD0L \(\omega \)-equivalence and periodicity problems in the primitive case. Zbl 1313.68067
Durand, Fabien
6
2012
The constant of recognizability is computable for primitive morphisms. Zbl 1359.68239
Durand, Fabien; Leroy, Julien
5
2017
Orbit equivalence and Kakutani equivalence with Sturmian subshifts. Zbl 0976.54041
Dartnell, P.; Durand, F.; Maass, A.
5
2000
Limit laws of entrance times for low-complexity Cantor minimal systems. Zbl 1006.37004
Durand, Fabien; Maass, Alejandro
5
2001
Ergodic averages with deterministic weights. Zbl 1054.37003
Durand, Fabien; Schneider, Dominique
5
2002
On Cobham’s theorem. Zbl 07425662
Durand, Fabien; Rigo, Michel
5
2021
Linearly repetitive Delone systems have a finite number of nonperiodic Delone system factors. Zbl 1189.37018
Cortez, María Isabel; Durand, Fabien; Petite, Samuel
5
2010
Cobham-Semenov theorem and \(\mathbb N^d\)-subshifts. Zbl 1133.68036
Durand, F.
4
2008
Combinatorial and dynamical study of substitutions around the theorem of Cobham. Zbl 1038.11016
Durand, Fabien
3
2002
Boundary of the Rauzy fractal sets in \(\mathbb {R} \times \mathbb {C}\) generated by \(P(x) = x^4 - x^3 - x^2 - x - 1\). Zbl 1268.11039
Durand, Fabien; Messaoudi, Ali
2
2011
Self-similar tiling systems, topological factors and stretching factors. Zbl 1168.52016
Cortez, María Isabel; Durand, Fabien
2
2008
Decidability, arithmetic subsequences and eigenvalues of morphic subshifts. Zbl 1432.37018
Durand, Fabien; Goyheneche, Valérie
1
2019
Local rates of Poincaré recurrence for rotations and weak mixing. Zbl 1063.37012
Chazottes, J.-R.; Durand, F.
1
2005
Dynamical properties of minimal Ferenczi subshifts. Zbl 1533.37038
Arbulú, Felipe; Durand, Fabien
1
2023
Dynamical properties of minimal Ferenczi subshifts. Zbl 1533.37038
Arbulú, Felipe; Durand, Fabien
1
2023
Dimension groups and dynamical systems. Substitutions, Bratteli diagrams and Cantor systems. Zbl 1493.37002
Durand, Fabien; Perrin, Dominique
10
2022
Interplay between finite topological rank minimal Cantor systems, \( \mathcal S\)-adic subshifts and their complexity. Zbl 1465.37016
Donoso, Sebastián; Durand, Fabien; Maass, Alejandro; Petite, Samuel
11
2021
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.
10
2021
On Cobham’s theorem. Zbl 07425662
Durand, Fabien; Rigo, Michel
5
2021
Eigenvalues of minimal Cantor systems. Zbl 1416.54018
Durand, Fabien; Frank, Alexander; Maass, Alejandro
13
2019
Decidability, arithmetic subsequences and eigenvalues of morphic subshifts. Zbl 1432.37018
Durand, Fabien; Goyheneche, Valérie
1
2019
Rigidity and substitutive dendric words. Zbl 1448.68365
Berthé, V.; Dolce, F.; Durand, F.; Leroy, J.; Perrin, D.
9
2018
Self-induced systems. Zbl 1408.37033
Durand, Fabien; Ormes, Nicholas; Petite, Samuel
8
2018
On automorphism groups of Toeplitz subshifts. Zbl 1404.37013
Donoso, Sebastian; Durand, Fabien; Maass, Alejandro; Petite, Samuel
10
2017
The constant of recognizability is computable for primitive morphisms. Zbl 1359.68239
Durand, Fabien; Leroy, Julien
5
2017
On automorphism groups of low complexity subshifts. Zbl 1354.37024
Donoso, Sebastián; Durand, Fabien; Maass, Alejandro; Petite, Samuel
39
2016
Eigenvalues and strong orbit equivalence. Zbl 1375.37008
Cortez, María Isabel; Durand, Fabien; Petite, Samuel
8
2016
Eigenvalues of Toeplitz minimal systems of finite topological rank. Zbl 1356.37013
Durand, Fabien; Frank, Alexander; Maass, Alejandro
8
2015
Linearly repetitive Delone sets. Zbl 1376.37044
Aliste-Prieto, José; Coronel, Daniel; Cortez, María Isabel; Durand, Fabien; Petite, Samuel
6
2015
Decidability of the HD0L ultimate periodicity problem. Zbl 1361.68112
Durand, Fabien
14
2013
Do the properties of an \(S\)-adic representation determine factor complexity? Zbl 1354.68214
Durand, Fabien; Leroy, Julien; Richomme, Gwenaël
14
2013
Decidability of uniform recurrence of morphic sequences. Zbl 1286.68279
Durand, Fabien
9
2013
Multidimensional extension of the Morse-Hedlund theorem. Zbl 1338.68227
Durand, Fabien; Rigo, Michel
9
2013
\(S\)-adic conjecture and Bratteli diagrams. Zbl 1278.37017
Durand, Fabien; Leroy, Julien
7
2012
HD0L \(\omega \)-equivalence and periodicity problems in the primitive case. Zbl 1313.68067
Durand, Fabien
6
2012
Cobham’s theorem for substitutions. Zbl 1246.11073
Durand, Fabien
23
2011
Boundary of the Rauzy fractal sets in \(\mathbb {R} \times \mathbb {C}\) generated by \(P(x) = x^4 - x^3 - x^2 - x - 1\). Zbl 1268.11039
Durand, Fabien; Messaoudi, Ali
2
2011
Combinatorics on Bratteli diagrams and dynamical systems. Zbl 1272.37006
Durand, Fabien
38
2010
On the eigenvalues of finite rank Bratteli-Vershik dynamical systems. Zbl 1204.37008
Bressaud, Xavier; Durand, Fabien; Maass, Alejandro
18
2010
Linearly repetitive Delone systems have a finite number of nonperiodic Delone system factors. Zbl 1189.37018
Cortez, María Isabel; Durand, Fabien; Petite, Samuel
5
2010
Minimal polynomial dynamics on the set of 3-adic integers. Zbl 1175.37048
Durand, Fabien; Paccaut, Frédéric
41
2009
Syndeticity and independent substitutions. Zbl 1160.68028
Durand, Fabien; Rigo, Michel
11
2009
Cobham-Semenov theorem and \(\mathbb N^d\)-subshifts. Zbl 1133.68036
Durand, F.
4
2008
Self-similar tiling systems, topological factors and stretching factors. Zbl 1168.52016
Cortez, María Isabel; Durand, Fabien
2
2008
Necessary and sufficient conditions to be an eigenvalue for linearly recurrent dynamical Cantor systems. Zbl 1095.54016
Bressaud, Xavier; Durand, Fabien; Maass, Alejandro
19
2005
Local rates of Poincaré recurrence for rotations and weak mixing. Zbl 1063.37012
Chazottes, J.-R.; Durand, F.
1
2005
Constant-length substitutions and countable scrambled sets. Zbl 1057.37006
Blanchard, François; Durand, Fabien; Maass, Alejandro
15
2004
Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems. Zbl 1045.54011
Cortez, Maria Isabel; Durand, Fabien; Host, Bernard; Maass, Alejandro
18
2003
A theorem of Cobham for nonprimitive substitutions. Zbl 1014.11016
Durand, Fabien
12
2002
Factors of Toeplitz flows and other almost 1-1 extensions over group rotations. Zbl 1023.37004
Downarowicz, T.; Durand, F.
10
2002
Ergodic averages with deterministic weights. Zbl 1054.37003
Durand, Fabien; Schneider, Dominique
5
2002
Combinatorial and dynamical study of substitutions around the theorem of Cobham. Zbl 1038.11016
Durand, Fabien
3
2002
Limit laws of entrance times for low-complexity Cantor minimal systems. Zbl 1006.37004
Durand, Fabien; Maass, Alejandro
5
2001
Linearly recurrent subshifts have a finite number of non-periodic subshift factors. Zbl 0965.37013
Durand, Fabien
92
2000
Orbit equivalence and Kakutani equivalence with Sturmian subshifts. Zbl 0976.54041
Dartnell, P.; Durand, F.; Maass, A.
5
2000
Substitutional dynamical systems, Bratteli diagrams and dimension groups. Zbl 1044.46543
Durand, F.; Host, B.; Skau, C.
121
1999
A characterization of substitutive sequences using return words. Zbl 0895.68087
Durand, Fabien
110
1998
A generalization of Cobham’s theorem. Zbl 0895.68081
Durand, F.
24
1998
On recognizable sets of integers. (Sur les ensembles d’entiers reconnaissables.) Zbl 1046.11500
Durand, Fabien
7
1998
all top 5

Cited by 462 Authors

20 Durand, Fabien
17 Berthé, Valérie
17 Pelantová, Edita
15 Lenz, Daniel H.
14 Bezuglyi, Sergey I.
14 Perrin, Dominique
14 Zamboni, Luca Quardo
13 Memić, Nacima
12 Charlier, Emilie
12 Cortez, Maria Isabel
12 Dolce, Francesco
12 Petite, Samuel
11 Baake, Michael
11 Jeong, Sangtae
11 Kra, Bryna
10 Rigo, Michel
9 Cyr, Van
9 Leroy, Julien
9 Puzynina, Svetlana
8 Adamczewski, Boris
8 Maass, Alejandro
8 Starosta, Štěpán
8 Yassawi, Reem
7 Allouche, Jean-Paul Simon
7 Barge, Marcy M.
7 Bell, Jason P.
7 Damanik, David
7 Dvořáková, L’ubomíra
7 Shallit, Jeffrey Outlaw
7 Thuswaldner, Jörg Maximilian
6 Jørgensen, Palle E. T.
6 Julien, Antoine
6 Mañibo, Neil
6 Savinien, Jean
6 Solomyak, Boris
6 Steiner, Wolfgang
5 Bruin, Henk
5 Coven, Ethan M.
5 Fan, Shilei
5 Fuhrmann, Gabriel
5 Glen, Amy
5 Karpel, Olena
5 Kwiatkowski, Jan
5 LeMasurier, Michelle
5 Liao, Lingmin
5 Medková, Kateřina
5 Ormes, Nicholas S.
5 Restivo, Antonio
5 Reutenauer, Christophe
5 Rust, Dan
5 Stipulanti, Manon
4 Cassaigne, Julien
4 de Luca, Aldo
4 De Luca, Alessandro
4 Delecroix, Vincent
4 Dykstra, Andrew
4 Goulet-Ouellet, Herman
4 Grimm, Uwe
4 Medynets, Konstantin
4 Pavlov, Ronnie
4 Rampersad, Narad
4 Rindone, Giuseppina
4 Salo, Ville O.
4 Schmieding, Scott
4 Vuillon, Laurent
4 Wen, Zhiying
4 Whiteland, Markus A.
4 Yuasa, Hisatoshi
3 Almeida, Jorge
3 Ash, Drew D.
3 Balková, L’ubomíra
3 Béal, Marie-Pierre
3 Bédaride, Nicolas
3 Boshernitzan, Michael D.
3 Bucci, Michelangelo
3 Bustos, Álvaro
3 Carlsen, Toke Meier
3 Coronel, Daniel
3 Costa, Alfredo
3 Creutz, Darren
3 De Felice, Clelia
3 Della Corte, Alessandro
3 Donoso, Sebastián
3 Downarowicz, Tomasz
3 Espinoza, Bastián
3 Fan, Ai Hua
3 Fan, Qinjie
3 Ferenczi, Sébastien
3 Frank, Alexander M.
3 Gheeraert, France
3 Gröger, Maik
3 Hilion, Arnaud
3 Huang, Yuke
3 Keane, Michael S.
3 Kellendonk, Johannes
3 Konieczny, Jakub
3 Labbé, Sébastien
3 Li, Chunlan
3 Liao, Gongfu
3 Masáková, Zuzana
...and 362 more Authors
all top 5

Cited in 130 Serials

54 Ergodic Theory and Dynamical Systems
35 Theoretical Computer Science
16 Discrete and Continuous Dynamical Systems
11 Annales de l’Institut Fourier
11 Transactions of the American Mathematical Society
10 Israel Journal of Mathematics
9 Indagationes Mathematicae. New Series
8 Journal d’Analyse Mathématique
8 Monatshefte für Mathematik
8 Topology and its Applications
7 Nonlinearity
7 Journal of Combinatorial Theory. Series A
7 Journal of Number Theory
7 Proceedings of the American Mathematical Society
7 Advances in Applied Mathematics
7 RAIRO. Theoretical Informatics and Applications
7 Dynamical Systems
7 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
6 European Journal of Combinatorics
5 Discrete Mathematics
5 Advances in Mathematics
5 Discrete & Computational Geometry
5 International Journal of Algebra and Computation
5 International Journal of Foundations of Computer Science
5 RAIRO. Theoretical Informatics and Applications
4 Communications in Mathematical Physics
4 Discrete Applied Mathematics
4 Colloquium Mathematicum
4 Journal of Algebra
4 Journal de Théorie des Nombres de Bordeaux
4 Finite Fields and their Applications
4 The Electronic Journal of Combinatorics
4 Journal of the European Mathematical Society (JEMS)
4 Annales Henri Poincaré
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Oberwolfach Reports
3 Journal of Mathematical Analysis and Applications
3 Bulletin of the London Mathematical Society
3 Journal of Functional Analysis
3 Mathematische Zeitschrift
3 Journal of Modern Dynamics
2 Rocky Mountain Journal of Mathematics
2 Reviews in Mathematical Physics
2 Bulletin de la Société Mathématique de France
2 Geometriae Dedicata
2 Journal of Computer and System Sciences
2 Journal of Differential Equations
2 Journal of the London Mathematical Society. Second Series
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Tokyo Journal of Mathematics
2 Journal of the American Mathematical Society
2 Publicacions Matemàtiques
2 International Journal of Mathematics
2 Expositiones Mathematicae
2 Journal of Mathematical Sciences (New York)
2 Journal of Difference Equations and Applications
2 Journal of the Australian Mathematical Society
2 Stochastics and Dynamics
2 International Journal of Number Theory
2 Chebyshevskiĭ Sbornik
2 Groups, Geometry, and Dynamics
2 Discrete Analysis
2 Actes des Rencontres du C.I.R.M.
1 Computer Physics Communications
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Studia Mathematica
1 Arkiv för Matematik
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 Acta Arithmetica
1 Acta Mathematica
1 Acta Mathematica Vietnamica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Canadian Journal of Mathematics
1 Dissertationes Mathematicae
1 Duke Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Inventiones Mathematicae
1 Journal of the Korean Mathematical Society
1 The Journal of Symbolic Logic
1 Mathematische Annalen
1 Mathematica Scandinavica
1 Mathematika
1 Proceedings of the Japan Academy. Series A
1 Combinatorica
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Information and Computation
1 Applied Mathematics Letters
1 Science in China. Series A
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Linear Algebra and its Applications
1 Archive for Mathematical Logic
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Topology Proceedings
1 St. Petersburg Mathematical Journal
...and 30 more Serials
all top 5

Cited in 47 Fields

317 Dynamical systems and ergodic theory (37-XX)
162 Computer science (68-XX)
106 Number theory (11-XX)
41 Convex and discrete geometry (52-XX)
41 General topology (54-XX)
33 Measure and integration (28-XX)
28 Group theory and generalizations (20-XX)
21 Combinatorics (05-XX)
18 Operator theory (47-XX)
16 Functional analysis (46-XX)
12 Probability theory and stochastic processes (60-XX)
10 Mathematical logic and foundations (03-XX)
10 Statistical mechanics, structure of matter (82-XX)
8 Topological groups, Lie groups (22-XX)
6 Abstract harmonic analysis (43-XX)
5 Algebraic topology (55-XX)
4 General and overarching topics; collections (00-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 \(K\)-theory (19-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Quantum theory (81-XX)
4 Information and communication theory, circuits (94-XX)
3 General algebraic systems (08-XX)
3 Real functions (26-XX)
3 Partial differential equations (35-XX)
3 Manifolds and cell complexes (57-XX)
2 Field theory and polynomials (12-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Ordinary differential equations (34-XX)
2 Difference and functional equations (39-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 Approximations and expansions (41-XX)
1 Integral equations (45-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year