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Fabien Durand

Page de Fabien DURAND, enseignant-chercheur à l'UPJV
55
Documents

Presentation

Bienvenue sur ma page web
Bienvenue sur ma page web

Research domains

Dynamical Systems [math.DS]

Skills

Publications

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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⟩
Journal articles hal-03739488v1
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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⟩
Journal articles hal-02461469v2

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⟩
Journal articles hal-02509588v1
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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
Monatshefte für Mathematik, 2021, 194 (4), pp.687-717. ⟨10.1007/s00605-020-01488-3⟩
Journal articles hal-03134044v1

INTERPLAY BETWEEN FINITE TOPOLOGICAL RANK MINIMAL CANTOR SYSTEMS, 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⟩
Journal articles hal-03620379v1
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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⟩
Journal articles hal-01917269v2
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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⟩
Journal articles hal-02455347v1
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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⟩
Journal articles hal-02458711v1
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Self-Induced Systems

Fabien Durand , Nicholas Ormes , Samuel Petite
Journal d'analyse mathématique, 2018, ⟨10.1007/s11854-018-0051-x⟩
Journal articles hal-01222522v1
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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⟩
Journal articles hal-02455371v1
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The Constant of Recognizability is Computable for Primitive Morphisms

Fabien Durand , Julien Leroy
Journal of Integer Sequences, 2017
Journal articles hal-02455378v1
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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
Journal articles hal-01076427v1
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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⟩
Journal articles hal-01053638v1

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⟩
Journal articles hal-03620380v1
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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⟩
Journal articles hal-01180247v1
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Decidability of the HD0L ultimate periodicity problem

Fabien Durand
RAIRO - Theoretical Informatics and Applications (RAIRO: ITA), 2013
Journal articles hal-00640990v3
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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
Journal articles lirmm-00797654v1
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Multidimensional extension of the Morse--Hedlund theorem

Fabien Durand , Michel Rigo
European Journal of Combinatorics, 2013
Journal articles hal-00626725v2
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Decidability of uniform recurrence of morphic sequences

Fabien Durand
International Journal of Foundations of Computer Science, 2013
Journal articles hal-00690883v2
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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
Journal articles hal-00637324v1
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$S$-adic conjecture and Bratteli diagrams

Fabien Durand , Julien Leroy
Comptes Rendus. Mathématique, 2012, 350 (21-22), pp.979-983
Journal articles hal-00738286v1
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Cobham's theorem for substitutions

Fabien Durand
Journal of the European Mathematical Society, 2011
Journal articles hal-00527622v1
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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
Journal articles hal-00293932v2
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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
Journal articles hal-00300649v1
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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
Journal articles hal-00723847v1
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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⟩
Journal articles hal-00723402v1
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Syndeticity and independent substitutions

Fabien Durand , Michel Rigo
Advances in Applied Mathematics, 2009, 42, pp.1-22
Journal articles hal-00407667v1
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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
Journal articles hal-00201237v1
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Cobham-Semenov theorem and $\NN^d$-subshifts

Fabien Durand
Theoretical Computer Science, 2008, 42 (1), pp.1-22
Journal articles hal-00201211v1

Local rates of Poincare recurrence for rotations and weak mixing

Jr Chazottes , Fabien Durand
Discrete and Continuous Dynamical Systems - Series A, 2005
Journal articles hal-00724804v1
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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
Journal articles hal-00224277v1
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Words and morphisms with Sturmian erasures

Fabien Durand , Adel Guerziz , Michel Koskas
Bulletin of the Belgian Mathematical Society, 2004, 11 (4), pp.575-588
Journal articles hal-00201886v1
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Constant-length substitutions and countable scrambled sets

François Blanchard , Fabien Durand , Alejandro Maass
Nonlinearity, 2004, 17, pp.817-833
Journal articles hal-00309506v1
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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
Journal articles hal-00309505v1
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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
Journal articles hal-00224189v1
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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⟩
Journal articles hal-02465499v1
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A theorem of Cobham for non-primitive substitutions

Fabien Durand
Acta Arithmetica, 2002, 104 (3), pp.225-241
Journal articles hal-00202073v1
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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
Journal articles hal-01180293v1
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Ergodic averages with deterministic weights

Fabien Durand , Dominique Schneider
Annales de l'Institut Fourier, 2002, 52, pp.561-583
Journal articles hal-00308799v1
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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
Journal articles hal-00309040v1
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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
Journal articles hal-01180295v1
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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
Journal articles hal-00306716v1
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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
Journal articles hal-00304369v1
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A characterization of substitutive sequences using return words

Fabien Durand
Discrete Mathematics, 1998, 179, pp.89-101
Journal articles hal-00303319v1
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A generalization of Cobham's Theorem

Fabien Durand
Theory of Computing Systems, 1998, 31, pp.169-185
Journal articles hal-00303322v1
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Sur les ensembles d'entiers reconnaissables

Fabien Durand
Journal de Théorie des Nombres de Bordeaux, 1998, 10, pp.65-84
Journal articles hal-00201163v1

Dimension Groups and Dynamical Systems

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

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⟩
Books lirmm-00799906v1