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Decidability of the isomorphism and the factorization between minimal substitution subshifts
Fabien Durand
,
Julien Leroy
Journal articles
hal-02461469v2
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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
Journal articles
hal-03134044v1
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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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Decidability, arithmetic subsequences and eigenvalues of morphic subshifts
Fabien Durand
,
Valérie Goyheneche
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
Journal articles
hal-02458711v1
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Self-Induced Systems
Fabien Durand
,
Nicholas Ormes
,
Samuel Petite
Journal articles
hal-01222522v1
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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 Toeplitz subshifts
Sebastian Donoso
,
Fabien Durand
,
Alejandro Maass
,
Samuel Petite
Journal articles
hal-02455371v1
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Eigenvalues and strong orbit equivalence
Maria Isabel Cortez
,
Fabien Durand
,
Samuel Petite
Journal articles
hal-01053638v1
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On automorphism groups of low complexity subshifts
Sebastian Donoso
,
Fabien Durand
,
Alejandro Maass
,
Samuel Petite
Journal articles
hal-03620380v1
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Eigenvalues of Toeplitz minimal systems of finite topological rank
Fabien Durand
,
Alexander Frank
,
Alejandro Maass
Journal articles
hal-01180247v1
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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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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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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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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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$S$-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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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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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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Cobham's theorem for substitutions
Fabien Durand
Journal of the European Mathematical Society, 2011
Journal articles
hal-00527622v1
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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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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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Minimal polynomial dynamics on the set of 3-adic integers
Fabien Durand
,
Frédéric Paccaut
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
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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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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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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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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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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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A note on limit laws for minimal Cantor systems with infinite periodic spectrum
Fabien Durand
,
Alejandro Maass
Journal articles
hal-02465499v1
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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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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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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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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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Sur les ensembles d'entiers reconnaissables
Fabien Durand
Journal de Théorie des Nombres de Bordeaux, 1998, 10, pp.65-84
Journal articles
hal-00201163v1
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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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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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