FD

Fabien Durand

Page de Fabien DURAND, enseignant-chercheur à l'UPJV
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Documents

Présentation

Bienvenue sur ma page web

Domaines de recherche

Systèmes dynamiques [math.DS]

Publications

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Publications

The Jacobs–Keane theorem from the S-adic viewpoint

Felipe Arbulú , Fabien Durand , Bastián Espinoza
Discrete and Continuous Dynamical Systems - Series A, 2024, 44 (10), pp.3077-3108. ⟨10.3934/dcds.2024052⟩
Article dans une revue hal-04639586 v1
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Dynamical properties of minimal Ferenczi subshifts

Felipe Arbulú , Fabien Durand
Ergodic Theory and Dynamical Systems, 2023, 43 (12), pp.3923-3970. ⟨10.1017/etds.2023.7⟩
Article dans une revue hal-03739488 v1
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CONJUGACY OF UNIMODULAR PISOT SUBSTITUTIONS SUBSHIFTS TO DOMAIN EXCHANGES

Fabien Durand , Samuel Petite
Annales Henri Lebesgue, 2023, 6, pp.1259-1289. ⟨10.5802/ahl.188⟩
Article dans une revue hal-01053723 v4
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Decidability of the isomorphism and the factorization between minimal substitution subshifts

Fabien Durand , Julien Leroy
Discrete Analysis, 2022, 65 p. ⟨10.19086/da.36901⟩
Article dans une revue hal-02461469 v2

Interplay between finite topological rank minimal Cantor systems, $\mathcal S$-adic subshifts and their complexity

Sebastian Donoso , Fabien Durand , Alejandro Maass , Samuel Petite
Transactions of the American Mathematical Society, 2021, 374 (5), pp.3453-3489. ⟨10.1090/tran/8315⟩
Article dans une revue hal-02509588 v1
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On the dimension group of unimodular ${\mathcal {S}}$-adic subshifts

Valérie Berthé , Paulina Cecchi Bernales , Fabien Durand , Dominique Perrin , J. Leroy et al.
Monatshefte für Mathematik, 2021, 194 (4), pp.687-717. ⟨10.1007/s00605-020-01488-3⟩
Article dans une revue hal-03134044 v1
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Decidability, arithmetic subsequences and eigenvalues of morphic subshifts

Fabien Durand , Valérie Goyheneche
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2019, 26 (4), pp.591-618. ⟨10.36045/bbms/1576206359⟩
Article dans une revue hal-01917269 v2
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Eigenvalues of minimal Cantor systems

Fabien Durand , Alexander Frank , Alejandro Maass
Journal of the European Mathematical Society, 2019, 21 (3), pp.727-775. ⟨10.4171/JEMS/849⟩
Article dans une revue hal-02455347 v1
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Rigidity and Substitutive Dendric Words

Valerie Berthe , Francesco Dolce , Fabien Durand , Julien Leroy , Dominique Perrin
International Journal of Foundations of Computer Science, 2018, 29 (05), pp.705-720. ⟨10.1142/S0129054118420017⟩
Article dans une revue hal-02458711 v1
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Self-Induced Systems

Fabien Durand , Nicholas Ormes , Samuel Petite
Journal d'analyse mathématique, 2018, ⟨10.1007/s11854-018-0051-x⟩
Article dans une revue hal-01222522 v1
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The Constant of Recognizability is Computable for Primitive Morphisms

Fabien Durand , Julien Leroy
Journal of Integer Sequences, 2017
Article dans une revue hal-02455378 v1
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On automorphism groups of Toeplitz subshifts

Sebastian Donoso , Fabien Durand , Alejandro Maass , Samuel Petite
Discrete Analysis, 2017, 19, ⟨10.19086/da.1832⟩
Article dans une revue hal-02455371 v1
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Eigenvalues and strong orbit equivalence

Maria Isabel Cortez , Fabien Durand , Samuel Petite
Ergodic Theory and Dynamical Systems, 2016, ⟨10.1017/etds.2015.26⟩
Article dans une revue hal-01053638 v1
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On automorphism groups of low complexity minimal subshifts

Sebastian Donoso , Fabien Durand , Alejandro Maass , Samuel Petite
Ergodic Theory and Dynamical Systems, 2016
Article dans une revue hal-01076427 v1

On automorphism groups of low complexity subshifts

Sebastian Donoso , Fabien Durand , Alejandro Maass , Samuel Petite
Ergodic Theory and Dynamical Systems, 2016, 36 (1), pp.64-95. ⟨10.1017/etds.2015.70⟩
Article dans une revue hal-03620380 v1
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Eigenvalues of Toeplitz minimal systems of finite topological rank

Fabien Durand , Alexander Frank , Alejandro Maass
Ergodic Theory and Dynamical Systems, 2015, 30 p. ⟨10.1017/etds.2014.45⟩
Article dans une revue hal-01180247 v1
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Decidability of uniform recurrence of morphic sequences

Fabien Durand
International Journal of Foundations of Computer Science, 2013
Article dans une revue hal-00690883 v2
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Do the Properties of an S-adic Representation Determine Factor Complexity?

Fabien Durand , Julien Leroy , Gwenaël Richomme
Journal of Integer Sequences, 2013, 16 (2), pp.Art 13.2.6
Article dans une revue lirmm-00797654 v1
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Multidimensional extension of the Morse--Hedlund theorem

Fabien Durand , Michel Rigo
European Journal of Combinatorics, 2013
Article dans une revue hal-00626725 v2
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Decidability of the HD0L ultimate periodicity problem

Fabien Durand
RAIRO - Theoretical Informatics and Applications (RAIRO: ITA), 2013
Article dans une revue hal-00640990 v3
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$S$-adic conjecture and Bratteli diagrams

Fabien Durand , Julien Leroy
Comptes Rendus. Mathématique, 2012, 350 (21-22), pp.979-983
Article dans une revue hal-00738286 v1
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HD0L $\omega$-equivalence and periodicity problems in the primitive case (to the memory of G. Rauzy)

Fabien Durand
Uniform Distribution Theory, 2012
Article dans une revue hal-00637324 v1
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Boundary of the Rauzy fractal sets in $\RR \times \CC$ generated by $P(x)=x^4-x^3-x^2-x-1$

Fabien Durand , Ali Messaoudi
Osaka Journal of Mathematics, 2011
Article dans une revue hal-00293932 v2
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Cobham's theorem for substitutions

Fabien Durand
Journal of the European Mathematical Society, 2011
Article dans une revue hal-00527622 v1
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Linearly repetitive Delone systems have a finite number of non periodic Delone system factors

Maria Isabel Cortez , Fabien Durand , Samuel Petite
Proceedings of the American Mathematical Society, 2010
Article dans une revue hal-00300649 v1
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On the eigenvalues of finite rank Bratteli-Vershik dynamical systems

Xavier Bressaud , Fabien Durand , Alejandro Maass
Ergodic Theory and Dynamical Systems, 2010, pp.26
Article dans une revue hal-00723847 v1
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Minimal polynomial dynamics on the set of 3-adic integers

Fabien Durand , Frédéric Paccaut
Bulletin of the London Mathematical Society, 2009, ⟨10.1112/blms/bdp003⟩
Article dans une revue hal-00723402 v1
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Syndeticity and independent substitutions

Fabien Durand , Michel Rigo
Advances in Applied Mathematics, 2009, 42, pp.1-22
Article dans une revue hal-00407667 v1
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Self-similar tiling systems, topological factors and stretching factors

Maria Isabel Cortez , Fabien Durand
Discrete and Computational Geometry, 2008, 40 (4), pp.622-640
Article dans une revue hal-00201237 v1
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Cobham-Semenov theorem and $\NN^d$-subshifts

Fabien Durand
Theoretical Computer Science, 2008, 42 (1), pp.1-22
Article dans une revue hal-00201211 v1

Local rates of Poincare recurrence for rotations and weak mixing

Jr Chazottes , Fabien Durand
Discrete and Continuous Dynamical Systems - Series A, 2005
Article dans une revue hal-00724804 v1

Local rates of Poincare recurrence for rotations and weak mixing

Jr Chazottes , Fabien Durand
Discrete and Continuous Dynamical Systems - Series S, 2005, 12 numéro 1, pp.175-183
Article dans une revue hal-00145519 v1
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Necessary and sufficient conditions to be an eigenvalue for linearly recurrent dynamical Cantor systems

Xavier Bressaud , Fabien Durand , Alejandro Maass
Journal of the London Mathematical Society, 2005, 72 (3), pp.799-816
Article dans une revue hal-00224277 v1
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Constant-length substitutions and countable scrambled sets

François Blanchard , Fabien Durand , Alejandro Maass
Nonlinearity, 2004, 17, pp.817-833
Article dans une revue hal-00309506 v1
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Words and morphisms with Sturmian erasures

Fabien Durand , Adel Guerziz , Michel Koskas
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2004, 11 (4), pp.575-588
Article dans une revue hal-00201886 v1
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Corrigendum and addendum to: Linearly recurrent subshifts have a finite number of non-periodic factors

Fabien Durand
Ergodic Theory and Dynamical Systems, 2003, 23 (2), pp.663-669
Article dans une revue hal-00309505 v1
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Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems

Maria Isabel Cortez , Fabien Durand , Bernard Host , Alejandro Maass
Journal of the London Mathematical Society, 2003, 67 (3), pp.790-804
Article dans une revue hal-00224189 v1
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A note on limit laws for minimal Cantor systems with infinite periodic spectrum

Fabien Durand , Alejandro Maass
Discrete and Continuous Dynamical Systems - Series A, 2003, 9 (3), pp.745-750. ⟨10.3934/dcds.2003.9.745⟩
Article dans une revue hal-02465499 v1
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A theorem of Cobham for non-primitive substitutions

Fabien Durand
Acta Arithmetica, 2002, 104 (3), pp.225-241
Article dans une revue hal-00202073 v1
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Factors of Toeplitz flows and other almost 1-1 extensions over group rotations

Tomasz Downarowicz , Fabien Durand
Mathematica Scandinavica, 2002, 90 (1), pp.57-72
Article dans une revue hal-01180293 v1
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Ergodic averages with deterministic weights

Fabien Durand , Dominique Schneider
Annales de l'Institut Fourier, 2002, 52, pp.561-583
Article dans une revue hal-00308799 v1
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Limit laws of entrance times for low complexity Cantor minimal systems

Fabien Durand , Alejandro Maass
Nonlinearity, 2001, 14, pp.683-700
Article dans une revue hal-00309040 v1
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Orbit Equivalence and Kakutani equivalence with Sturmian Subshifts

Pablo Dartnell, , Fabien Durand , Alejandro Maass
Studia Mathematica, 2000, 142 (1), pp.25-45
Article dans une revue hal-01180295 v1
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Linearly recurrent subshifts have a finite number of non-periodic subshift factors

Fabien Durand
Ergodic Theory and Dynamical Systems, 2000, 20, pp.1061-1078
Article dans une revue hal-00306716 v1
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Substitutional dynamical systems, Bratteli diagrams and dimension groups

Fabien Durand , Bernard Host , Christian Skau
Ergodic Theory and Dynamical Systems, 1999, 19, pp.953-993
Article dans une revue hal-00304369 v1
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Sur les ensembles d'entiers reconnaissables

Fabien Durand
Journal de Théorie des Nombres de Bordeaux, 1998, 10, pp.65-84
Article dans une revue hal-00201163 v1
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A characterization of substitutive sequences using return words

Fabien Durand
Discrete Mathematics, 1998, 179, pp.89-101
Article dans une revue hal-00303319 v1
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A generalization of Cobham's Theorem

Fabien Durand
Theory of Computing Systems, 1998, 31, pp.169-185
Article dans une revue hal-00303322 v1

Dimension Groups and Dynamical Systems

Fabien Durand , Dominique Perrin
Cambridge University Press, 196, 2022, Cambridge Studies in Advanced Mathematics, ⟨10.1017/9781108976039⟩
Ouvrages hal-03746074 v1

Special issue 13th "Journées Montoises d'Informatique Théorique

Fabien Durand , Gwenaël Richomme
EDP Sciences, 46 (1), pp.1-200, 2012, RAIRO Theoretical Informatics and Applications, ⟨10.1051/ita/2012004⟩
Ouvrages lirmm-00799906 v1