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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/

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 553 times in 355 Documents Cited by Year
Substitutional dynamical systems, Bratteli diagrams and dimension groups. Zbl 1044.46543
Durand, F.; Host, B.; Skau, C.
93
1999
A characterization of substitutive sequences using return words. Zbl 0895.68087
Durand, Fabien
92
1998
Linearly recurrent subshifts have a finite number of non-periodic subshift factors. Zbl 0965.37013
Durand, Fabien
66
2000
Minimal polynomial dynamics on the set of 3-adic integers. Zbl 1175.37048
Durand, Fabien; Paccaut, Frédéric
31
2009
Combinatorics on Bratteli diagrams and dynamical systems. Zbl 1272.37006
Durand, Fabien
26
2010
On automorphism groups of low complexity subshifts. Zbl 1354.37024
Donoso, Sebastián; Durand, Fabien; Maass, Alejandro; Petite, Samuel
20
2016
A generalization of Cobham’s theorem. Zbl 0895.68081
Durand, F.
20
1998
Cobham’s theorem for substitutions. Zbl 1246.11073
Durand, Fabien
16
2011
Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems. Zbl 1045.54011
Cortez, Maria Isabel; Durand, Fabien; Host, Bernard; Maass, Alejandro
15
2003
Necessary and sufficient conditions to be an eigenvalue for linearly recurrent dynamical Cantor systems. Zbl 1095.54016
Bressaud, Xavier; Durand, Fabien; Maass, Alejandro
15
2005
Constant-length substitutions and countable scrambled sets. Zbl 1057.37006
Blanchard, François; Durand, Fabien; Maass, Alejandro
14
2004
On the eigenvalues of finite rank Bratteli-Vershik dynamical systems. Zbl 1204.37008
Bressaud, Xavier; Durand, Fabien; Maass, Alejandro
11
2010
A theorem of Cobham for nonprimitive substitutions. Zbl 1014.11016
Durand, Fabien
10
2002
Do the properties of an \(S\)-adic representation determine factor complexity? Zbl 1354.68214
Durand, Fabien; Leroy, Julien; Richomme, Gwenaël
10
2013
Decidability of the HD0L ultimate periodicity problem. Zbl 1361.68112
Durand, Fabien
10
2013
Factors of Toeplitz flows and other almost 1-1 extensions over group rotations. Zbl 1023.37004
Downarowicz, T.; Durand, F.
8
2002
Syndeticity and independent substitutions. Zbl 1160.68028
Durand, Fabien; Rigo, Michel
7
2009
Multidimensional extension of the Morse-Hedlund theorem. Zbl 1338.68227
Durand, Fabien; Rigo, Michel
7
2013
Decidability of uniform recurrence of morphic sequences. Zbl 1286.68279
Durand, Fabien
6
2013
Eigenvalues of Toeplitz minimal systems of finite topological rank. Zbl 1356.37013
Durand, Fabien; Frank, Alexander; Maass, Alejandro
5
2015
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
On recognizable sets of integers. (Sur les ensembles d’entiers reconnaissables.) Zbl 1046.11500
Durand, Fabien
5
1998
HD0L \(\omega \)-equivalence and periodicity problems in the primitive case. Zbl 1313.68067
Durand, Fabien
5
2012
Eigenvalues and strong orbit equivalence. Zbl 1375.37008
Cortez, María Isabel; Durand, Fabien; Petite, Samuel
5
2016
On automorphism groups of Toeplitz subshifts. Zbl 1404.37013
Donoso, Sebastian; Durand, Fabien; Maass, Alejandro; Petite, Samuel
5
2017
Rigidity and substitutive dendric words. Zbl 1448.68365
Berthé, V.; Dolce, F.; Durand, F.; Leroy, J.; Perrin, D.
5
2018
Linearly repetitive Delone systems have a finite number of nonperiodic Delone system factors. Zbl 1189.37018
Cortez, María Isabel; Durand, Fabien; Petite, Samuel
4
2010
Eigenvalues of minimal Cantor systems. Zbl 1416.54018
Durand, Fabien; Frank, Alexander; Maass, Alejandro
4
2019
Self-induced systems. Zbl 1408.37033
Durand, Fabien; Ormes, Nicholas; Petite, Samuel
4
2018
Combinatorial and dynamical study of substitutions around the theorem of Cobham. Zbl 1038.11016
Durand, Fabien
3
2002
Ergodic averages with deterministic weights. Zbl 1054.37003
Durand, Fabien; Schneider, Dominique
3
2002
\(S\)-adic conjecture and Bratteli diagrams. Zbl 1278.37017
Durand, Fabien; Leroy, Julien
3
2012
Cobham-Semenov theorem and \(\mathbb N^d\)-subshifts. Zbl 1133.68036
Durand, F.
3
2008
Linearly repetitive Delone sets. Zbl 1376.37044
Aliste-Prieto, José; Coronel, Daniel; Cortez, María Isabel; Durand, Fabien; Petite, Samuel
3
2015
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
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.
2
2021
On Cobham’s theorem. Zbl 07425662
Durand, Fabien; Rigo, Michel
2
2021
Local rates of Poincaré recurrence for rotations and weak mixing. Zbl 1063.37012
Chazottes, J.-R.; Durand, F.
1
2005
Self-similar tiling systems, topological factors and stretching factors. Zbl 1168.52016
Cortez, María Isabel; Durand, Fabien
1
2008
The constant of recognizability is computable for primitive morphisms. Zbl 1359.68239
Durand, Fabien; Leroy, Julien
1
2017
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.
2
2021
On Cobham’s theorem. Zbl 07425662
Durand, Fabien; Rigo, Michel
2
2021
Eigenvalues of minimal Cantor systems. Zbl 1416.54018
Durand, Fabien; Frank, Alexander; Maass, Alejandro
4
2019
Rigidity and substitutive dendric words. Zbl 1448.68365
Berthé, V.; Dolce, F.; Durand, F.; Leroy, J.; Perrin, D.
5
2018
Self-induced systems. Zbl 1408.37033
Durand, Fabien; Ormes, Nicholas; Petite, Samuel
4
2018
On automorphism groups of Toeplitz subshifts. Zbl 1404.37013
Donoso, Sebastian; Durand, Fabien; Maass, Alejandro; Petite, Samuel
5
2017
The constant of recognizability is computable for primitive morphisms. Zbl 1359.68239
Durand, Fabien; Leroy, Julien
1
2017
On automorphism groups of low complexity subshifts. Zbl 1354.37024
Donoso, Sebastián; Durand, Fabien; Maass, Alejandro; Petite, Samuel
20
2016
Eigenvalues and strong orbit equivalence. Zbl 1375.37008
Cortez, María Isabel; Durand, Fabien; Petite, Samuel
5
2016
Eigenvalues of Toeplitz minimal systems of finite topological rank. Zbl 1356.37013
Durand, Fabien; Frank, Alexander; Maass, Alejandro
5
2015
Linearly repetitive Delone sets. Zbl 1376.37044
Aliste-Prieto, José; Coronel, Daniel; Cortez, María Isabel; Durand, Fabien; Petite, Samuel
3
2015
Do the properties of an \(S\)-adic representation determine factor complexity? Zbl 1354.68214
Durand, Fabien; Leroy, Julien; Richomme, Gwenaël
10
2013
Decidability of the HD0L ultimate periodicity problem. Zbl 1361.68112
Durand, Fabien
10
2013
Multidimensional extension of the Morse-Hedlund theorem. Zbl 1338.68227
Durand, Fabien; Rigo, Michel
7
2013
Decidability of uniform recurrence of morphic sequences. Zbl 1286.68279
Durand, Fabien
6
2013
HD0L \(\omega \)-equivalence and periodicity problems in the primitive case. Zbl 1313.68067
Durand, Fabien
5
2012
\(S\)-adic conjecture and Bratteli diagrams. Zbl 1278.37017
Durand, Fabien; Leroy, Julien
3
2012
Cobham’s theorem for substitutions. Zbl 1246.11073
Durand, Fabien
16
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
26
2010
On the eigenvalues of finite rank Bratteli-Vershik dynamical systems. Zbl 1204.37008
Bressaud, Xavier; Durand, Fabien; Maass, Alejandro
11
2010
Linearly repetitive Delone systems have a finite number of nonperiodic Delone system factors. Zbl 1189.37018
Cortez, María Isabel; Durand, Fabien; Petite, Samuel
4
2010
Minimal polynomial dynamics on the set of 3-adic integers. Zbl 1175.37048
Durand, Fabien; Paccaut, Frédéric
31
2009
Syndeticity and independent substitutions. Zbl 1160.68028
Durand, Fabien; Rigo, Michel
7
2009
Cobham-Semenov theorem and \(\mathbb N^d\)-subshifts. Zbl 1133.68036
Durand, F.
3
2008
Self-similar tiling systems, topological factors and stretching factors. Zbl 1168.52016
Cortez, María Isabel; Durand, Fabien
1
2008
Necessary and sufficient conditions to be an eigenvalue for linearly recurrent dynamical Cantor systems. Zbl 1095.54016
Bressaud, Xavier; Durand, Fabien; Maass, Alejandro
15
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
14
2004
Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems. Zbl 1045.54011
Cortez, Maria Isabel; Durand, Fabien; Host, Bernard; Maass, Alejandro
15
2003
A theorem of Cobham for nonprimitive substitutions. Zbl 1014.11016
Durand, Fabien
10
2002
Factors of Toeplitz flows and other almost 1-1 extensions over group rotations. Zbl 1023.37004
Downarowicz, T.; Durand, F.
8
2002
Combinatorial and dynamical study of substitutions around the theorem of Cobham. Zbl 1038.11016
Durand, Fabien
3
2002
Ergodic averages with deterministic weights. Zbl 1054.37003
Durand, Fabien; Schneider, Dominique
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
66
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.
93
1999
A characterization of substitutive sequences using return words. Zbl 0895.68087
Durand, Fabien
92
1998
A generalization of Cobham’s theorem. Zbl 0895.68081
Durand, F.
20
1998
On recognizable sets of integers. (Sur les ensembles d’entiers reconnaissables.) Zbl 1046.11500
Durand, Fabien
5
1998
all top 5

Cited by 341 Authors

16 Durand, Fabien
15 Lenz, Daniel H.
14 Berthé, Valérie
14 Pelantová, Edita
14 Zamboni, Luca Quardo
11 Cortez, Maria Isabel
10 Baake, Michael
10 Bezuglyi, Sergey I.
10 Charlier, Emilie
9 Jeong, Sangtae
9 Memić, Nacima
9 Petite, Samuel
8 Dolce, Francesco
8 Kra, Bryna
8 Leroy, Julien
8 Perrin, Dominique
7 Adamczewski, Boris
7 Cyr, Van
7 Maass, Alejandro
7 Puzynina, Svetlana
7 Rigo, Michel
7 Starosta, Štěpán
6 Barge, Marcy M.
6 Julien, Antoine
6 Savinien, Jean
6 Thuswaldner, Jörg Maximilian
6 Yassawi, Reem
5 Allouche, Jean-Paul Simon
5 Bell, Jason P.
5 Coven, Ethan M.
5 Damanik, David
5 Fan, Shilei
5 Glen, Amy
5 Liao, Lingmin
5 Shallit, Jeffrey O.
5 Solomyak, Boris
5 Steiner, Wolfgang
4 Bruin, Henk
4 de Luca, Aldo
4 De Luca, Alessandro
4 Delecroix, Vincent
4 Karpel, Olena
4 Kwiatkowski, Jan
4 LeMasurier, Michelle
4 Medková, Kateřina
4 Medynets, Konstantin
4 Ormes, Nicholas S.
4 Rampersad, Narad
4 Reutenauer, Christophe
4 Rindone, Giuseppina
4 Rust, Dan
4 Salo, Ville O.
4 Vuillon, Laurent
4 Yuasa, Hisatoshi
3 Almeida, Jorge
3 Balková, L’ubomíra
3 Boshernitzan, Michael D.
3 Bucci, Michelangelo
3 Carlsen, Toke Meier
3 Cassaigne, Julien
3 Costa, Alfredo
3 De Felice, Clelia
3 Downarowicz, Tomasz
3 Dvořáková, L’ubomíra
3 Dykstra, Andrew
3 Fan, Qinjie
3 Ferenczi, Sébastien
3 Fuhrmann, Gabriel
3 Gröger, Maik
3 Jørgensen, Palle E. T.
3 Keane, Michael S.
3 Li, Chunlan
3 Liao, Gongfu
3 Masáková, Zuzana
3 Massuir, Adeline
3 Messaoudi, Ali
3 Richomme, Gwénaël
3 Rivera-Letelier, Juan
3 Wang, Hui
3 Wen, Zhixiong
3 Wen, Zhiying
2 Aliste-Prieto, José
2 Bernat, Julien
2 Berstel, Jean
2 Besbes, Adnene
2 Bugeaud, Yann
2 Caprio, Danilo Antonio
2 Cecchi Bernales, Paulina
2 Chaika, Jonathan
2 Cisternino, Célia
2 Coronel, Daniel
2 Diamond, Beverly
2 Donoso, Sebastián
2 Eilers, Søren
2 El Kacimi, Aziz
2 Fan, Ai Hua
2 Fernique, Thomas
2 Frank, Alexander M.
2 Franks, John M.
2 Frick, Sarah Bailey
...and 241 more Authors
all top 5

Cited in 107 Serials

39 Ergodic Theory and Dynamical Systems
28 Theoretical Computer Science
11 Annales de l’Institut Fourier
10 Transactions of the American Mathematical Society
9 Discrete and Continuous Dynamical Systems
8 Journal d’Analyse Mathématique
8 Indagationes Mathematicae. New Series
7 Journal of Number Theory
7 Proceedings of the American Mathematical Society
7 Topology and its Applications
7 RAIRO. Theoretical Informatics and Applications
7 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
6 Israel Journal of Mathematics
6 Monatshefte für Mathematik
6 Advances in Applied Mathematics
5 Discrete Mathematics
5 Advances in Mathematics
5 Journal of Combinatorial Theory. Series A
5 European Journal of Combinatorics
5 International Journal of Foundations of Computer Science
5 Dynamical Systems
4 Communications in Mathematical Physics
4 Discrete & Computational Geometry
4 International Journal of Algebra and Computation
4 Journal de Théorie des Nombres de Bordeaux
4 Finite Fields and their Applications
4 Annales Henri Poincaré
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 RAIRO. Theoretical Informatics and Applications
3 Discrete Applied Mathematics
3 Journal of Mathematical Analysis and Applications
3 Nonlinearity
3 Journal of Algebra
3 Mathematische Zeitschrift
3 The Electronic Journal of Combinatorics
3 Journal of the European Mathematical Society (JEMS)
3 Journal of Modern Dynamics
2 Reviews in Mathematical Physics
2 Colloquium Mathematicum
2 Geometriae Dedicata
2 Journal of Differential Equations
2 Journal of Functional Analysis
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Tokyo Journal of Mathematics
2 Publicacions Matemàtiques
2 International Journal of Mathematics
2 Journal of Mathematical Sciences (New York)
2 Journal of Difference Equations and Applications
2 Stochastics and Dynamics
2 Oberwolfach Reports
2 International Journal of Number Theory
2 Actes des Rencontres du C.I.R.M.
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Rocky Mountain Journal of Mathematics
1 Arkiv för Matematik
1 Chaos, Solitons and Fractals
1 Acta Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
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 Computer and System Sciences
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 Journal of the American Mathematical Society
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 Expositiones Mathematicae
1 Archive for Mathematical Logic
1 Topology Proceedings
1 Filomat
1 The Journal of Fourier Analysis and Applications
1 Doklady Mathematics
1 Theory of Computing Systems
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Algebras and Representation Theory
1 Discrete Mathematics and Theoretical Computer Science. DMTCS
1 Journal of Integer Sequences
1 Annals of Mathematics. Second Series
1 Fundamenta Informaticae
1 Algebraic & Geometric Topology
1 Groups, Geometry, and Dynamics
1 Discrete and Continuous Dynamical Systems. Series S
1 Involve
...and 7 more Serials
all top 5

Cited in 41 Fields

241 Dynamical systems and ergodic theory (37-XX)
120 Computer science (68-XX)
81 Number theory (11-XX)
35 General topology (54-XX)
33 Convex and discrete geometry (52-XX)
27 Measure and integration (28-XX)
17 Combinatorics (05-XX)
16 Group theory and generalizations (20-XX)
15 Operator theory (47-XX)
12 Functional analysis (46-XX)
9 Probability theory and stochastic processes (60-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Topological groups, Lie groups (22-XX)
5 Mathematical logic and foundations (03-XX)
5 Abstract harmonic analysis (43-XX)
5 Algebraic topology (55-XX)
4 \(K\)-theory (19-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Quantum theory (81-XX)
3 Information and communication theory, circuits (94-XX)
2 General and overarching topics; collections (00-XX)
2 Real functions (26-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)
2 Manifolds and cell complexes (57-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 Field theory and polynomials (12-XX)
1 Associative rings and algebras (16-XX)
1 Special functions (33-XX)
1 Partial differential equations (35-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)

Citations by Year