Edit Profile Durand, Fabien Compute Distance To: Compute Author ID: durand.fabien Published as: Durand, F.; Durand, Fabien Homepage: http://www.lamfa.u-picardie.fr/fdurand/ Documents Indexed: 44 Publications since 1998, including 1 Book all top 5 Co-Authors 12 single-authored 11 Maass, Alejandro 6 Petite, Samuel 5 Cortez, Maria Isabel 4 Leroy, Julien 2 Bressaud, Xavier 2 Donoso, Sebastián 2 Frank, Alexander M. 2 Host, Bernard 2 Richomme, Gwénaël 2 Rigo, Michel 1 Aliste-Prieto, José 1 Berthé, Valérie 1 Blanchard, François 1 Chazottes, Jean-René 1 Coronel, Daniel 1 Dartnell, Pablo R. 1 Dolce, Francesco 1 Downarowicz, Tomasz 1 Fan, Ai Hua 1 Goyheneche, Valérie 1 Guerziz, Adel 1 Khrennikov, Andreĭ Yur’evich 1 Koskas, Michel 1 Lin, Dongdai 1 Messaoudi, Ali 1 Ormes, Nicholas S. 1 Paccaut, Frédéric 1 Perrin, Dominique 1 Schneider, Dominique 1 Skau, Christian Fr. 1 Vivaldi, Franco 1 Wang, Yuefei all top 5 Serials 6 Ergodic Theory and Dynamical Systems 2 Nonlinearity 2 Journal of the London Mathematical Society. Second Series 2 International Journal of Foundations of Computer Science 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Discrete and Continuous Dynamical Systems 2 Journal of Integer Sequences 2 Journal of the European Mathematical Society (JEMS) 2 RAIRO. Theoretical Informatics and Applications 1 Discrete Mathematics 1 Journal d’Analyse Mathématique 1 Studia Mathematica 1 Acta Arithmetica 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Mathematica Scandinavica 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Theoretical Computer Science 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Discrete & Computational Geometry 1 Journal de Théorie des Nombres de Bordeaux 1 Theory of Computing Systems 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Uniform Distribution Theory 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Discrete Analysis all top 5 Fields 29 Dynamical systems and ergodic theory (37-XX) 18 Computer science (68-XX) 11 Number theory (11-XX) 8 General topology (54-XX) 5 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Convex and discrete geometry (52-XX) 2 Probability theory and stochastic processes (60-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 39 Publications have been cited 473 times in 307 Documents Cited by ▼ Year ▼ Substitutional dynamical systems, Bratteli diagrams and dimension groups. Zbl 1044.46543Durand, F.; Host, B.; Skau, C. 85 1999 A characterization of substitutive sequences using return words. Zbl 0895.68087Durand, Fabien 79 1998 Linearly recurrent subshifts have a finite number of non-periodic subshift factors. Zbl 0965.37013Durand, Fabien 64 2000 Minimal polynomial dynamics on the set of 3-adic integers. Zbl 1175.37048Durand, Fabien; Paccaut, Frédéric 25 2009 Combinatorics on Bratteli diagrams and dynamical systems. Zbl 1272.37006Durand, Fabien 21 2010 A generalization of Cobham’s theorem. Zbl 0895.68081Durand, F. 18 1998 On automorphism groups of low complexity subshifts. Zbl 1354.37024Donoso, Sebastián; Durand, Fabien; Maass, Alejandro; Petite, Samuel 15 2016 Necessary and sufficient conditions to be an eigenvalue for linearly recurrent dynamical Cantor systems. Zbl 1095.54016Bressaud, Xavier; Durand, Fabien; Maass, Alejandro 14 2005 Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems. Zbl 1045.54011Cortez, Maria Isabel; Durand, Fabien; Host, Bernard; Maass, Alejandro 14 2003 Constant-length substitutions and countable scrambled sets. Zbl 1057.37006Blanchard, François; Durand, Fabien; Maass, Alejandro 13 2004 Cobham’s theorem for substitutions. Zbl 1246.11073Durand, Fabien 11 2011 On the eigenvalues of finite rank Bratteli-Vershik dynamical systems. Zbl 1204.37008Bressaud, Xavier; Durand, Fabien; Maass, Alejandro 10 2010 A theorem of Cobham for nonprimitive substitutions. Zbl 1014.11016Durand, Fabien 10 2002 Do the properties of an \(S\)-adic representation determine factor complexity? Zbl 1354.68214Durand, Fabien; Leroy, Julien; Richomme, Gwenaël 7 2013 Decidability of the HD0L ultimate periodicity problem. Zbl 1361.68112Durand, Fabien 7 2013 Decidability of uniform recurrence of morphic sequences. Zbl 1286.68279Durand, Fabien 6 2013 Multidimensional extension of the Morse-Hedlund theorem. Zbl 1338.68227Durand, Fabien; Rigo, Michel 6 2013 Syndeticity and independent substitutions. Zbl 1160.68028Durand, Fabien; Rigo, Michel 6 2009 Factors of Toeplitz flows and other almost 1-1 extensions over group rotations. Zbl 1023.37004Downarowicz, T.; Durand, F. 5 2002 Limit laws of entrance times for low-complexity Cantor minimal systems. Zbl 1006.37004Durand, Fabien; Maass, Alejandro 5 2001 Orbit equivalence and Kakutani equivalence with Sturmian subshifts. Zbl 0976.54041Dartnell, P.; Durand, F.; Maass, A. 5 2000 On recognizable sets of integers. Zbl 1046.11500Durand, Fabien 5 1998 Eigenvalues of Toeplitz minimal systems of finite topological rank. Zbl 1356.37013Durand, Fabien; Frank, Alexander; Maass, Alejandro 4 2015 HD0L \(\omega \)-equivalence and periodicity problems in the primitive case. Zbl 1313.68067Durand, Fabien 4 2012 Linearly repetitive Delone systems have a finite number of nonperiodic Delone system factors. Zbl 1189.37018Cortez, María Isabel; Durand, Fabien; Petite, Samuel 4 2010 Rigidity and substitutive dendric words. Zbl 1448.68365Berthé, V.; Dolce, F.; Durand, F.; Leroy, J.; Perrin, D. 3 2018 Self-induced systems. Zbl 1408.37033Durand, Fabien; Ormes, Nicholas; Petite, Samuel 3 2018 On automorphism groups of Toeplitz subshifts. Zbl 1404.37013Donoso, Sebastian; Durand, Fabien; Maass, Alejandro; Petite, Samuel 3 2017 Eigenvalues and strong orbit equivalence. Zbl 1375.37008Cortez, María Isabel; Durand, Fabien; Petite, Samuel 3 2016 Linearly repetitive Delone sets. Zbl 1376.37044Aliste-Prieto, José; Coronel, Daniel; Cortez, María Isabel; Durand, Fabien; Petite, Samuel 3 2015 Cobham-Semenov theorem and \(\mathbb N^d\)-subshifts. Zbl 1133.68036Durand, F. 3 2008 Combinatorial and dynamical study of substitutions around the theorem of Cobham. Zbl 1038.11016Durand, Fabien 3 2002 Eigenvalues of minimal Cantor systems. Zbl 1416.54018Durand, Fabien; Frank, Alexander; Maass, Alejandro 2 2019 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 1268.11039Durand, Fabien; Messaoudi, Ali 2 2011 The constant of recognizability is computable for primitive morphisms. Zbl 1359.68239Durand, Fabien; Leroy, Julien 1 2017 \(S\)-adic conjecture and Bratteli diagrams. Zbl 1278.37017Durand, Fabien; Leroy, Julien 1 2012 Self-similar tiling systems, topological factors and stretching factors. Zbl 1168.52016Cortez, María Isabel; Durand, Fabien 1 2008 Local rates of Poincaré recurrence for rotations and weak mixing. Zbl 1063.37012Chazottes, J.-R.; Durand, F. 1 2005 Ergodic averages with deterministic weights. Zbl 1054.37003Durand, Fabien; Schneider, Dominique 1 2002 Eigenvalues of minimal Cantor systems. Zbl 1416.54018Durand, Fabien; Frank, Alexander; Maass, Alejandro 2 2019 Rigidity and substitutive dendric words. Zbl 1448.68365Berthé, V.; Dolce, F.; Durand, F.; Leroy, J.; Perrin, D. 3 2018 Self-induced systems. Zbl 1408.37033Durand, Fabien; Ormes, Nicholas; Petite, Samuel 3 2018 On automorphism groups of Toeplitz subshifts. Zbl 1404.37013Donoso, Sebastian; Durand, Fabien; Maass, Alejandro; Petite, Samuel 3 2017 The constant of recognizability is computable for primitive morphisms. Zbl 1359.68239Durand, Fabien; Leroy, Julien 1 2017 On automorphism groups of low complexity subshifts. Zbl 1354.37024Donoso, Sebastián; Durand, Fabien; Maass, Alejandro; Petite, Samuel 15 2016 Eigenvalues and strong orbit equivalence. Zbl 1375.37008Cortez, María Isabel; Durand, Fabien; Petite, Samuel 3 2016 Eigenvalues of Toeplitz minimal systems of finite topological rank. Zbl 1356.37013Durand, Fabien; Frank, Alexander; Maass, Alejandro 4 2015 Linearly repetitive Delone sets. Zbl 1376.37044Aliste-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 1354.68214Durand, Fabien; Leroy, Julien; Richomme, Gwenaël 7 2013 Decidability of the HD0L ultimate periodicity problem. Zbl 1361.68112Durand, Fabien 7 2013 Decidability of uniform recurrence of morphic sequences. Zbl 1286.68279Durand, Fabien 6 2013 Multidimensional extension of the Morse-Hedlund theorem. Zbl 1338.68227Durand, Fabien; Rigo, Michel 6 2013 HD0L \(\omega \)-equivalence and periodicity problems in the primitive case. Zbl 1313.68067Durand, Fabien 4 2012 \(S\)-adic conjecture and Bratteli diagrams. Zbl 1278.37017Durand, Fabien; Leroy, Julien 1 2012 Cobham’s theorem for substitutions. Zbl 1246.11073Durand, 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 1268.11039Durand, Fabien; Messaoudi, Ali 2 2011 Combinatorics on Bratteli diagrams and dynamical systems. Zbl 1272.37006Durand, Fabien 21 2010 On the eigenvalues of finite rank Bratteli-Vershik dynamical systems. Zbl 1204.37008Bressaud, Xavier; Durand, Fabien; Maass, Alejandro 10 2010 Linearly repetitive Delone systems have a finite number of nonperiodic Delone system factors. Zbl 1189.37018Cortez, María Isabel; Durand, Fabien; Petite, Samuel 4 2010 Minimal polynomial dynamics on the set of 3-adic integers. Zbl 1175.37048Durand, Fabien; Paccaut, Frédéric 25 2009 Syndeticity and independent substitutions. Zbl 1160.68028Durand, Fabien; Rigo, Michel 6 2009 Cobham-Semenov theorem and \(\mathbb N^d\)-subshifts. Zbl 1133.68036Durand, F. 3 2008 Self-similar tiling systems, topological factors and stretching factors. Zbl 1168.52016Cortez, María Isabel; Durand, Fabien 1 2008 Necessary and sufficient conditions to be an eigenvalue for linearly recurrent dynamical Cantor systems. Zbl 1095.54016Bressaud, Xavier; Durand, Fabien; Maass, Alejandro 14 2005 Local rates of Poincaré recurrence for rotations and weak mixing. Zbl 1063.37012Chazottes, J.-R.; Durand, F. 1 2005 Constant-length substitutions and countable scrambled sets. Zbl 1057.37006Blanchard, François; Durand, Fabien; Maass, Alejandro 13 2004 Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems. Zbl 1045.54011Cortez, Maria Isabel; Durand, Fabien; Host, Bernard; Maass, Alejandro 14 2003 A theorem of Cobham for nonprimitive substitutions. Zbl 1014.11016Durand, Fabien 10 2002 Factors of Toeplitz flows and other almost 1-1 extensions over group rotations. Zbl 1023.37004Downarowicz, T.; Durand, F. 5 2002 Combinatorial and dynamical study of substitutions around the theorem of Cobham. Zbl 1038.11016Durand, Fabien 3 2002 Ergodic averages with deterministic weights. Zbl 1054.37003Durand, Fabien; Schneider, Dominique 1 2002 Limit laws of entrance times for low-complexity Cantor minimal systems. Zbl 1006.37004Durand, Fabien; Maass, Alejandro 5 2001 Linearly recurrent subshifts have a finite number of non-periodic subshift factors. Zbl 0965.37013Durand, Fabien 64 2000 Orbit equivalence and Kakutani equivalence with Sturmian subshifts. Zbl 0976.54041Dartnell, P.; Durand, F.; Maass, A. 5 2000 Substitutional dynamical systems, Bratteli diagrams and dimension groups. Zbl 1044.46543Durand, F.; Host, B.; Skau, C. 85 1999 A characterization of substitutive sequences using return words. Zbl 0895.68087Durand, Fabien 79 1998 A generalization of Cobham’s theorem. Zbl 0895.68081Durand, F. 18 1998 On recognizable sets of integers. Zbl 1046.11500Durand, Fabien 5 1998 all cited Publications top 5 cited Publications all top 5 Cited by 305 Authors 14 Durand, Fabien 14 Lenz, Daniel H. 14 Zamboni, Luca Quardo 13 Berthé, Valérie 10 Cortez, Maria Isabel 10 Pelantová, Edita 9 Baake, Michael 8 Bezuglyi, Sergey I. 8 Jeong, Sangtae 8 Kra, Bryna 7 Adamczewski, Boris 7 Charlier, Emilie 7 Cyr, Van 7 Leroy, Julien 7 Memić, Nacima 7 Petite, Samuel 6 Barge, Marcy M. 6 Julien, Antoine 6 Maass, Alejandro 6 Perrin, Dominique 6 Rigo, Michel 6 Savinien, Jean 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 Starosta, Štěpán 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, Zhi-Ying 3 Wen, Zhixiong 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 Chaika, Jonathan 2 Coronel, Daniel 2 Costa, Alfredo 2 Diamond, Beverly 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 Gähler, Franz 2 Giordano, Thierry 2 Grigorchuk, Rostislav Ivanovich 2 Grimm, Uwe 2 Gröger, Maik 2 Holton, Charles G. 2 Host, Bernard 2 Huang, Yuke 2 Jang, Youngho 2 Justin, Jacques ...and 205 more Authors all top 5 Cited in 96 Serials 35 Ergodic Theory and Dynamical Systems 24 Theoretical Computer Science 10 Annales de l’Institut Fourier 9 Discrete and Continuous Dynamical Systems 8 Journal d’Analyse Mathématique 8 Indagationes Mathematicae. New Series 7 Proceedings of the American Mathematical Society 7 Transactions 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 Advances in Applied Mathematics 5 Israel Journal of Mathematics 5 Journal of Number Theory 5 Monatshefte für Mathematik 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 International Journal of Foundations of Computer Science 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 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 Mathematische Zeitschrift 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 209 Dynamical systems and ergodic theory (37-XX) 102 Computer science (68-XX) 68 Number theory (11-XX) 32 General topology (54-XX) 31 Convex and discrete geometry (52-XX) 23 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