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Durand, Fabien

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Author ID: durand.fabien Recent zbMATH articles by "Durand, Fabien"
Published as: Durand, F.; Durand, Fabien
Homepage: http://www.lamfa.u-picardie.fr/fdurand/
Documents Indexed: 46 Publications since 1998, including 1 Book

Publications by Year

Citations contained in zbMATH

40 Publications have been cited 490 times in 313 Documents Cited by Year
Substitutional dynamical systems, Bratteli diagrams and dimension groups. Zbl 1044.46543
Durand, F.; Host, B.; Skau, C.
86
1999
A characterization of substitutive sequences using return words. Zbl 0895.68087
Durand, Fabien
81
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
25
2009
Combinatorics on Bratteli diagrams and dynamical systems. Zbl 1272.37006
Durand, Fabien
23
2010
A generalization of Cobham’s theorem. Zbl 0895.68081
Durand, F.
18
1998
On automorphism groups of low complexity subshifts. Zbl 1354.37024
Donoso, Sebastián; Durand, Fabien; Maass, Alejandro; Petite, Samuel
15
2016
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
14
2005
Constant-length substitutions and countable scrambled sets. Zbl 1057.37006
Blanchard, François; Durand, Fabien; Maass, Alejandro
13
2004
Cobham’s theorem for substitutions. Zbl 1246.11073
Durand, Fabien
11
2011
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
8
2013
Decidability of the HD0L ultimate periodicity problem. Zbl 1361.68112
Durand, Fabien
7
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
Syndeticity and independent substitutions. Zbl 1160.68028
Durand, Fabien; Rigo, Michel
6
2009
Factors of Toeplitz flows and other almost 1-1 extensions over group rotations. Zbl 1023.37004
Downarowicz, T.; Durand, F.
6
2002
Limit laws of entrance times for low-complexity Cantor minimal systems. Zbl 1006.37004
Durand, Fabien; Maass, Alejandro
5
2001
Orbit equivalence and Kakutani equivalence with Sturmian subshifts. Zbl 0976.54041
Dartnell, P.; Durand, F.; Maass, A.
5
2000
On recognizable sets of integers. Zbl 1046.11500
Durand, Fabien
5
1998
Rigidity and substitutive dendric words. Zbl 1448.68365
Berthé, V.; Dolce, F.; Durand, F.; Leroy, J.; Perrin, D.
4
2018
Eigenvalues and strong orbit equivalence. Zbl 1375.37008
Cortez, María Isabel; Durand, Fabien; Petite, Samuel
4
2016
Eigenvalues of Toeplitz minimal systems of finite topological rank. Zbl 1356.37013
Durand, Fabien; Frank, Alexander; Maass, Alejandro
4
2015
HD0L \(\omega \)-equivalence and periodicity problems in the primitive case. Zbl 1313.68067
Durand, Fabien
4
2012
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
3
2019
Self-induced systems. Zbl 1408.37033
Durand, Fabien; Ormes, Nicholas; Petite, Samuel
3
2018
On automorphism groups of Toeplitz subshifts. Zbl 1404.37013
Donoso, Sebastian; Durand, Fabien; Maass, Alejandro; Petite, Samuel
3
2017
Linearly repetitive Delone sets. Zbl 1376.37044
Aliste-Prieto, José; Coronel, Daniel; Cortez, María Isabel; Durand, Fabien; Petite, Samuel
3
2015
Cobham-Semenov theorem and \(\mathbb N^d\)-subshifts. Zbl 1133.68036
Durand, F.
3
2008
Combinatorial and dynamical study of substitutions around the theorem of Cobham. Zbl 1038.11016
Durand, Fabien
3
2002
\(S\)-adic conjecture and Bratteli diagrams. Zbl 1278.37017
Durand, Fabien; Leroy, Julien
2
2012
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 07328633
Berthé, Valérie; Cecchi Bernales, P.; Durand, Fabien; Leroy, Julien; Perrin, Dominique; Petite, S.
1
2021
The constant of recognizability is computable for primitive morphisms. Zbl 1359.68239
Durand, Fabien; Leroy, Julien
1
2017
Self-similar tiling systems, topological factors and stretching factors. Zbl 1168.52016
Cortez, María Isabel; Durand, Fabien
1
2008
Local rates of Poincaré recurrence for rotations and weak mixing. Zbl 1063.37012
Chazottes, J.-R.; Durand, F.
1
2005
Ergodic averages with deterministic weights. Zbl 1054.37003
Durand, Fabien; Schneider, Dominique
1
2002
On the dimension group of unimodular \(\mathcal{S}\)-adic subshifts. Zbl 07328633
Berthé, Valérie; Cecchi Bernales, P.; Durand, Fabien; Leroy, Julien; Perrin, Dominique; Petite, S.
1
2021
Eigenvalues of minimal Cantor systems. Zbl 1416.54018
Durand, Fabien; Frank, Alexander; Maass, Alejandro
3
2019
Rigidity and substitutive dendric words. Zbl 1448.68365
Berthé, V.; Dolce, F.; Durand, F.; Leroy, J.; Perrin, D.
4
2018
Self-induced systems. Zbl 1408.37033
Durand, Fabien; Ormes, Nicholas; Petite, Samuel
3
2018
On automorphism groups of Toeplitz subshifts. Zbl 1404.37013
Donoso, Sebastian; Durand, Fabien; Maass, Alejandro; Petite, Samuel
3
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
15
2016
Eigenvalues and strong orbit equivalence. Zbl 1375.37008
Cortez, María Isabel; Durand, Fabien; Petite, Samuel
4
2016
Eigenvalues of Toeplitz minimal systems of finite topological rank. Zbl 1356.37013
Durand, Fabien; Frank, Alexander; Maass, Alejandro
4
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
8
2013
Decidability of the HD0L ultimate periodicity problem. Zbl 1361.68112
Durand, Fabien
7
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
4
2012
\(S\)-adic conjecture and Bratteli diagrams. Zbl 1278.37017
Durand, Fabien; Leroy, Julien
2
2012
Cobham’s theorem for substitutions. Zbl 1246.11073
Durand, Fabien
11
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
23
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
25
2009
Syndeticity and independent substitutions. Zbl 1160.68028
Durand, Fabien; Rigo, Michel
6
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
14
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
13
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.
6
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
1
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.
86
1999
A characterization of substitutive sequences using return words. Zbl 0895.68087
Durand, Fabien
81
1998
A generalization of Cobham’s theorem. Zbl 0895.68081
Durand, F.
18
1998
On recognizable sets of integers. Zbl 1046.11500
Durand, Fabien
5
1998
all top 5

Cited by 309 Authors

16 Durand, Fabien
14 Berthé, Valérie
14 Lenz, Daniel H.
14 Zamboni, Luca Quardo
11 Pelantová, Edita
10 Cortez, Maria Isabel
9 Baake, Michael
9 Petite, Samuel
8 Bezuglyi, Sergey I.
8 Jeong, Sangtae
8 Kra, Bryna
8 Leroy, Julien
7 Adamczewski, Boris
7 Charlier, Emilie
7 Cyr, Van
7 Maass, Alejandro
7 Memić, Nacima
7 Perrin, Dominique
6 Barge, Marcy M.
6 Julien, Antoine
6 Rigo, Michel
6 Savinien, Jean
6 Starosta, Štěpán
6 Thuswaldner, Jörg Maximilian
5 Bell, Jason P.
5 Dolce, Francesco
5 Fan, Shilei
5 Glen, Amy
5 Liao, Lingmin
5 Puzynina, Svetlana
5 Solomyak, Boris
5 Steiner, Wolfgang
4 Bruin, Henk
4 Coven, Ethan M.
4 Damanik, David
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 Reutenauer, Christophe
4 Rindone, Giuseppina
4 Rust, Dan
4 Vuillon, Laurent
4 Yassawi, Reem
4 Yuasa, Hisatoshi
3 Balková, L’ubomíra
3 Boshernitzan, Michael D.
3 Bucci, Michelangelo
3 Carlsen, Toke Meier
3 Cassaigne, Julien
3 De Felice, Clelia
3 Downarowicz, Tomasz
3 Dykstra, Andrew
3 Fan, Qinjie
3 Ferenczi, Sébastien
3 Keane, Michael S.
3 Li, Chunlan
3 Liao, Gongfu
3 Masáková, Zuzana
3 Rampersad, Narad
3 Richomme, Gwénaël
3 Rivera-Letelier, Juan
3 Salo, Ville O.
3 Shallit, Jeffrey O.
3 Wang, Hui
3 Wen, Zhixiong
3 Wen, Zhiying
2 Aliste-Prieto, José
2 Allouche, Jean-Paul Simon
2 Almeida, Jorge
2 Bernat, Julien
2 Berstel, Jean
2 Besbes, Adnene
2 Bugeaud, Yann
2 Cecchi Bernales, Paulina
2 Chaika, Jonathan
2 Coronel, Daniel
2 Costa, Alfredo
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
2 Fuhrmann, Gabriel
2 Gähler, Franz
2 Giordano, Thierry
2 Grigorchuk, Rostislav Ivanovich
2 Grimm, Uwe
2 Gröger, Maik
2 Hilion, Arnaud
2 Holton, Charles G.
...and 209 more Authors
all top 5

Cited in 96 Serials

35 Ergodic Theory and Dynamical Systems
25 Theoretical Computer Science
10 Annales de l’Institut Fourier
9 Transactions of the American Mathematical Society
9 Discrete and Continuous Dynamical Systems
8 Journal d’Analyse Mathématique
8 Indagationes Mathematicae. New Series
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 Discrete Mathematics
6 Monatshefte für Mathematik
6 Advances in Applied Mathematics
5 Israel Journal of Mathematics
5 Journal of Number Theory
5 International Journal of Foundations of Computer Science
4 Communications in Mathematical Physics
4 Advances in Mathematics
4 Journal of Combinatorial Theory. Series A
4 European Journal of Combinatorics
4 Discrete & Computational Geometry
4 Journal de Théorie des Nombres de Bordeaux
4 Finite Fields and their Applications
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 RAIRO. Theoretical Informatics and Applications
3 Discrete Applied Mathematics
3 Nonlinearity
3 Mathematische Zeitschrift
3 International Journal of Algebra and Computation
3 Journal of the European Mathematical Society (JEMS)
3 Annales Henri Poincaré
3 Dynamical Systems
3 Journal of Modern Dynamics
2 Journal of Mathematical Analysis and Applications
2 Reviews in Mathematical Physics
2 Colloquium Mathematicum
2 Geometriae Dedicata
2 Journal of Algebra
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 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 Duke Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Inventiones Mathematicae
1 Journal of Computer and System Sciences
1 Journal of Differential Equations
1 The Journal of Symbolic Logic
1 Mathematische Annalen
1 Mathematica Scandinavica
1 Mathematika
1 Proceedings of the Japan Academy. Series A
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applied Mathematics Letters
1 Journal of the American Mathematical Society
1 Science in China. Series A
1 Linear Algebra and its Applications
1 Archive for Mathematical Logic
1 Topology Proceedings
1 The Electronic Journal of Combinatorics
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 Algebraic & Geometric Topology
1 Oberwolfach Reports
1 Groups, Geometry, and Dynamics
1 Discrete and Continuous Dynamical Systems. Series S
1 Involve
1 Bulletin of Mathematical Sciences
1 Journal of Nonlinear Dynamics
1 Transactions of the American Mathematical Society. Series B
1 Prikladnaya Diskretnaya Matematika
all top 5

Cited in 38 Fields

213 Dynamical systems and ergodic theory (37-XX)
104 Computer science (68-XX)
69 Number theory (11-XX)
32 General topology (54-XX)
31 Convex and discrete geometry (52-XX)
24 Measure and integration (28-XX)
15 Combinatorics (05-XX)
15 Group theory and generalizations (20-XX)
10 Functional analysis (46-XX)
9 Operator theory (47-XX)
7 Statistical mechanics, structure of matter (82-XX)
5 Mathematical logic and foundations (03-XX)
5 Algebraic topology (55-XX)
4 \(K\)-theory (19-XX)
4 Topological groups, Lie groups (22-XX)
4 Abstract harmonic analysis (43-XX)
4 Probability theory and stochastic processes (60-XX)
3 Information and communication theory, circuits (94-XX)
2 Linear and multilinear algebra; matrix theory (15-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 Global analysis, analysis on manifolds (58-XX)
2 Quantum theory (81-XX)
1 General and overarching topics; collections (00-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 Partial differential equations (35-XX)
1 Sequences, series, summability (40-XX)
1 Integral equations (45-XX)
1 Geometry (51-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year