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


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Journal articles46 documents

  • Fabien Durand, Julien Leroy. Decidability of the isomorphism and the factorization between minimal substitution subshifts. Discrete Analysis, Alliance of Diamond Open Access Journals, 2022. ⟨hal-02461469v2⟩
  • Sebastian Donoso, Fabien Durand, Alejandro Maass, Samuel Petite. Interplay between finite topological rank minimal Cantor systems, $\mathcal S$-adic subshifts and their complexity. Transactions of the American Mathematical Society, American Mathematical Society, 2021, 374 (5), pp.3453-3489. ⟨10.1090/tran/8315⟩. ⟨hal-02509588⟩
  • Sebastian Donoso, Fabien Durand, Alejandro Maass, Samuel Petite. INTERPLAY BETWEEN FINITE TOPOLOGICAL RANK MINIMAL CANTOR SYSTEMS, S-ADIC SUBSHIFTS AND THEIR COMPLEXITY. Transactions of the American Mathematical Society, American Mathematical Society, 2021, 374 (5), pp.3453-3489. ⟨10.1090/tran/8315⟩. ⟨hal-03620379⟩
  • Valérie Berthé, Paulina Cecchi Bernales, Fabien Durand, Dominique Perrin, J. Leroy, et al.. On the dimension group of unimodular ${\mathcal {S}}$-adic subshifts. Monatshefte für Mathematik, Springer Verlag, 2021, 194 (4), pp.687-717. ⟨10.1007/s00605-020-01488-3⟩. ⟨hal-03134044⟩
  • Fabien Durand, Alexander Frank, Alejandro Maass. EIGENVALUES OF MINIMAL CANTOR SYSTEMS. Journal of the European Mathematical Society, European Mathematical Society, 2019, 21 (3), pp.727-775. ⟨10.4171/JEMS/849⟩. ⟨hal-02455347⟩
  • Fabien Durand, Valérie Goyheneche. DECIDABILITY, ARITHMETIC SUBSEQUENCES AND EIGENVALUES OF MORPHIC SUBSHIFTS. Bulletin of the Belgian Mathematical Society - Simon Stevin, Belgian Mathematical Society, 2019, 26. ⟨hal-01917269v2⟩
  • Fabien Durand, Nicholas Ormes, Samuel Petite. Self-Induced Systems. Journal d'analyse mathématique, Springer, 2018, ⟨10.1007/s11854-018-0051-x⟩. ⟨hal-01222522⟩
  • Valerie Berthe, Francesco Dolce, Fabien Durand, Julien Leroy, Dominique Perrin. Rigidity and Substitutive Dendric Words. International Journal of Foundations of Computer Science, World Scientific Publishing, 2018, 29 (05), pp.705-720. ⟨10.1142/S0129054118420017⟩. ⟨hal-02458711⟩
  • Sebastian Donoso, Fabien Durand, Alejandro Maass, Samuel Petite. On automorphism groups of Toeplitz subshifts *. Discrete Analysis, Alliance of Diamond Open Access Journals, 2017, 19, ⟨10.19086/da.1832⟩. ⟨hal-02455371⟩
  • V. Berthé, F. Durand, Valerie Berthe, Clelia de Felice, Vincent Delecroix, et al.. Theoretical Computer Science. Theoretical Computer Science, Elsevier, 2017, 684 (05), pp.3-28. ⟨10.1016/j.tcs.2017.03.001⟩. ⟨hal-02364465⟩
  • Fabien Durand, Julien Leroy. The Constant of Recognizability is Computable for Primitive Morphisms. Journal of Integer Sequences, University of Waterloo, 2017. ⟨hal-02455378⟩
  • Sebastian Donoso, Fabien Durand, Alejandro Maass, Samuel Petite. On automorphism groups of low complexity subshifts. Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2016, 36 (1), pp.64-95. ⟨10.1017/etds.2015.70⟩. ⟨hal-03620380⟩
  • Sebastian Donoso, Fabien Durand, Alejandro Maass, Samuel Petite. ON AUTOMORPHISM GROUPS OF LOW COMPLEXITY MINIMAL SUBSHIFTS. Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2016. ⟨hal-01076427⟩
  • Maria Isabel Cortez, Fabien Durand, Samuel Petite. EIGENVALUES AND STRONG ORBIT EQUIVALENCE.. Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2016, ⟨10.1017/etds.2015.26⟩. ⟨hal-01053638⟩
  • Fabien Durand, Alexander Frank, Alejandro Maass. Eigenvalues of Toeplitz minimal systems of finite topological rank. Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2015, 30 p. ⟨10.1017/etds.2014.45⟩. ⟨hal-01180247⟩
  • Fabien Durand. Decidability of the HD0L ultimate periodicity problem. RAIRO - Theoretical Informatics and Applications (RAIRO: ITA), EDP Sciences, 2013. ⟨hal-00640990v3⟩
  • Fabien Durand, Julien Leroy, Gwenaël Richomme. Do the Properties of an S-adic Representation Determine Factor Complexity?. Journal of Integer Sequences, University of Waterloo, 2013, 16 (2), pp.Art 13.2.6. ⟨lirmm-00797654⟩
  • Fabien Durand, Michel Rigo. Multidimensional extension of the Morse--Hedlund theorem. European Journal of Combinatorics, Elsevier, 2013. ⟨hal-00626725v2⟩
  • Fabien Durand. Decidability of uniform recurrence of morphic sequences. International Journal of Foundations of Computer Science, World Scientific Publishing, 2013. ⟨hal-00690883v2⟩
  • Fabien Durand. HD0L $\omega$-equivalence and periodicity problems in the primitive case (to the memory of G. Rauzy). Uniform Distribution Theory, Mathematical Institute of the Slovak Academy of Sciences, 2012. ⟨hal-00637324⟩
  • Fabien Durand, Julien Leroy. $S$-adic conjecture and Bratteli diagrams. Comptes Rendus. Mathématique, Académie des sciences (Paris), 2012. ⟨hal-00738286⟩
  • Fabien Durand, Ali Messaoudi. Boundary of the Rauzy fractal sets in $\RR \times \CC$ generated by $P(x)=x^4-x^3-x^2-x-1$. Osaka Journal of Mathematics, Osaka University, 2011. ⟨hal-00293932v2⟩
  • Fabien Durand. Cobham's theorem for substitutions. Journal of the European Mathematical Society, European Mathematical Society, 2011. ⟨hal-00527622⟩
  • Xavier Bressaud, Fabien Durand, Alejandro Maass. On the eigenvalues of finite rank Bratteli-Vershik dynamical systems. Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2010, pp.26. ⟨hal-00723847⟩
  • Maria Isabel Cortez, Fabien Durand, Samuel Petite. Linearly repetitive Delone systems have a finite number of non periodic Delone system factors. Proceedings of the American Mathematical Society, American Mathematical Society, 2010. ⟨hal-00300649⟩
  • Fabien Durand, Michel Rigo. Syndeticity and independent substitutions. Advances in Applied Mathematics, Elsevier, 2009, 42, pp.1-22. ⟨hal-00407667⟩
  • Fabien Durand, Frédéric Paccaut. Minimal polynomial dynamics on the set of 3-adic integers. Bulletin of the London Mathematical Society, London Mathematical Society, 2009, ⟨10.1112/blms/bdp003⟩. ⟨hal-00723402⟩
  • Maria Isabel Cortez, Fabien Durand. Self-similar tiling systems, topological factors and stretching factors. Discrete and Computational Geometry, Springer Verlag, 2008, 40 (4), pp.622-640. ⟨hal-00201237⟩
  • Fabien Durand. Cobham-Semenov theorem and $\NN^d$-subshifts. Theoretical Computer Science, Elsevier, 2008, 42 (1), pp.1-22. ⟨hal-00201211⟩
  • Xavier Bressaud, Fabien Durand, Alejandro Maass. Necessary and sufficient conditions to be an eigenvalue for linearly recurrent dynamical Cantor systems. Journal of the London Mathematical Society, London Mathematical Society ; Wiley, 2005, 72 (3), pp.799-816. ⟨hal-00224277⟩
  • Jr Chazottes, Fabien Durand. Local rates of Poincare recurrence for rotations and weak mixing. Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2005. ⟨hal-00724804⟩
  • Fabien Durand, Adel Guerziz, Michel Koskas. Words and morphisms with Sturmian erasures. Bulletin of the Belgian Mathematical Society, 2004, 11 (4), pp.575-588. ⟨hal-00201886⟩
  • François Blanchard, Fabien Durand, Alejandro Maass. Constant-length substitutions and countable scrambled sets. Nonlinearity, IOP Publishing, 2004, 17, pp.817-833. ⟨hal-00309506⟩
  • Fabien Durand, Alejandro Maass. A note on limit laws for minimal Cantor systems with infinite periodic spectrum. Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2003, 9 (3), pp.745-750. ⟨10.3934/dcds.2003.9.745⟩. ⟨hal-02465499⟩
  • Maria Isabel Cortez, Fabien Durand, Bernard Host, Alejandro Maass. Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems. Journal of the London Mathematical Society, London Mathematical Society ; Wiley, 2003, 67 (3), pp.790-804. ⟨hal-00224189⟩
  • Fabien Durand. Corrigendum and addendum to: Linearly recurrent subshifts have a finite number of non-periodic factors. Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2003, 23 (2), pp.663-669. ⟨hal-00309505⟩
  • Fabien Durand. A theorem of Cobham for non-primitive substitutions. Acta Arithmetica, Instytut Matematyczny PAN, 2002, 104 (3), pp.225-241. ⟨hal-00202073⟩
  • Fabien Durand, Dominique Schneider. Ergodic averages with deterministic weights. Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, 2002, 52, pp.561-583. ⟨hal-00308799⟩
  • Tomasz Downarowicz, Fabien Durand. Factors of Toeplitz flows and other almost 1-1 extensions over group rotations. Mathematica Scandinavica, 2002, 90 (1), pp.57-72. ⟨hal-01180293⟩
  • Fabien Durand, Alejandro Maass. Limit laws of entrance times for low complexity Cantor minimal systems. Nonlinearity, IOP Publishing, 2001, 14, pp.683-700. ⟨hal-00309040⟩
  • Fabien Durand. Linearly recurrent subshifts have a finite number of non-periodic subshift factors. Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2000, 20, pp.1061-1078. ⟨hal-00306716⟩
  • Pablo Dartnell,, Fabien Durand, Alejandro Maass. Orbit Equivalence and Kakutani equivalence with Sturmian Subshifts. Studia Mathematica, Instytut Matematyczny - Polska Akademii Nauk, 2000, 142 (1), pp.25-45. ⟨hal-01180295⟩
  • Fabien Durand, Bernard Host, Christian Skau. Substitutional dynamical systems, Bratteli diagrams and dimension groups. Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 1999, 19, pp.953-993. ⟨hal-00304369⟩
  • Fabien Durand. Sur les ensembles d'entiers reconnaissables. Journal de Théorie des Nombres de Bordeaux, Société Arithmétique de Bordeaux, 1998, 10, pp.65-84. ⟨hal-00201163⟩
  • Fabien Durand. A generalization of Cobham's Theorem. Theory of Computing Systems, Springer Verlag, 1998, 31, pp.169-185. ⟨hal-00303322⟩
  • Fabien Durand. A characterization of substitutive sequences using return words. Discrete Mathematics, Elsevier, 1998, 179, pp.89-101. ⟨hal-00303319⟩

Conference papers1 document

  • Fabien Durand, Julien Leroy, Gwenaël Richomme. Some Examples and Counter-Examples About the S-Adic Conjecture. Numération 2011, Jun 2011, Liège, Belgium. ⟨lirmm-00604422⟩

Books2 documents

  • Fabien Durand, Dominique Perrin. Dimension Groups and Dynamical Systems. Cambridge University Press, 196, 2022, Cambridge Studies in Advanced Mathematics. ⟨hal-03746074⟩
  • Fabien Durand, Gwenaël Richomme. Special issue 13th "Journées Montoises d'Informatique Théorique". EDP Sciences, 46 (1), pp.1-200, 2012, RAIRO Theoretical Informatics and Applications, ⟨10.1051/ita/2012004⟩. ⟨lirmm-00799906⟩

Book sections3 documents

  • José Aliste-Prieto, Daniel Coronel, Maria Isabel Cortez, Fabien Durand, Samuel Petite. Linearly Repetitive Delone Sets. Mathematics of Aperiodic Order, 37, pp.195-222, 2015, ⟨10.1007/978-3-0348-0903-0_6⟩. ⟨hal-02463104⟩
  • Fabien Durand, Michel Rigo. On Cobham's theorem. Automata: from Mathematics to Applications, European Math. Soc., 2011. ⟨hal-00605375⟩
  • Fabien Durand. Combinatorics on Bratteli diagrams and dynamical systems. Combinatorics, Automata and Number Theory, 2010. ⟨hal-02465482⟩

Preprints, Working Papers, ...4 documents

  • Felipe Arbulú, Fabien Durand. Dynamical properties of minimal Ferenczi subshifts. 2022. ⟨hal-03739488⟩
  • Samuel Petite, Fabien Durand. CONJUGACY OF UNIMODULAR PISOT SUBSTITUTIONS SUBSHIFTS TO DOMAIN EXCHANGES. 2020. ⟨hal-01053723v3⟩
  • Valerie Berthe, P Cecchi Bernales, Fabien Durand, J Leroy, Dominique Perrin, et al.. On The Dimension Group of Unimodular S-Adic Subshifts. 2020. ⟨hal-02366494v2⟩
  • Fabien Durand, Julien Leroy, Gwenaël Richomme. Towards a statement of the S-adic conjecture through examples. 2012. ⟨hal-00724788⟩

Videos2 documents

  • Fabien Durand, Fanny Bastien, Vanille Beaumont. Fabien Durand - Sur le Théorème de Cobham (Part 1) : École d’été 2013 - Théorie des nombres et dynamique. 2013. ⟨medihal-01319322⟩
  • Fabien Durand, Fanny Bastien, Vanille Beaumont. Fabien Durand - Sur le Théorème de Cobham (Part 2) : École d’été 2013 - Théorie des nombres et dynamique. 2013. ⟨medihal-01319329⟩