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Accueil > Membres > Fabien Durand

Publications

par Laurent Renault - publié le , mis à jour le

Prépublications

  1. On Cobham’s theorem, F. Durand et M. Rigo, Chapter in Automata : from Mathematics to Applications, European Mathematical Society, Editor J.-É. Pin, preprint (.pdf) .
  2. Eigenvalues minimal Cantor systems, F. Durand, A. Frank and A. Maass, submitted to JEMS.
  3. Self-induced systems, F. Durand, N. Ormes and S. Petite, submitted to J. d’Analyse.

Publications

38) Unimodular Pisot substitutions and domain exchanges, F. Durand, S. Petite, accepted in Bulletin de la SMF.

37) Eigenvalues and strong orbit equivalence, M.I. Cortez, F. Durand, S. Petite, accepted in to Ergod. Th. & Dynam. Sys.. (.pdf)

36) On automorphism groups of low complexity subshifts, S. Donoso, F. Durand, A. Maass and S. Petite, accepted in Ergod. Th. & Dynam. Sys. 36 (2016), 64-95(.pdf)

35) Linearly repetitive Delone sets, Mathematics of Aperiodic Order, J. Aliste-Prieto, D. Coronel, M.I. Cortez, F. Durand, S. Petite. Progress in Mathematics (Birkhaeuser) (.pdf).

34) Eigenvalues of toeplitz minimal systems of finite topological rank, F. Durand, A. Frank and A. Maass, to appear in Ergod. Th. & Dynam. Sys.. (.pdf)

33) Decidability of the HD0L ultimate periodicity problem, F. Durand, RAIRO - Theoretical Informatics and Applications 47 (2013), 201-214. (.pdf)

32 ) Do the properties of an S-adic representation determine factor complexity ? F. Durand, J. Leroy and G. Richomme, J. of Integer sequences 16 (2013), 30 pages. (.pdf)

31) Multidimensional extension of the Morse—Hedlund theorem, F. Durand and M. Rigo, European J. Combin. 34 (2013), 391-409. (.pdf)

30) Decidability of uniform recurrence of morphic sequences, F. Durand, International Journal of Foundations of Computer Science 24 (2013), 123–146. (.pdf)

29) S-adic conjecture and Bratteli diagrams, F. Durand and J. Leroy, Comptes Rendus Mathematique 350 (2012), 979–983. (.pdf)

28) HD0L $\omega$-equivalence and periodicity problems in the primitive case (to the memory of G. Rauzy), J. of Uniform Distribution Theory 7 (2012), 199-215. (.pdf)

27) Cobham’s theorem for substitutions, F. Durand, J. Eur. Math. Soc. 13 (2011), 1797–1812. (.pdf)

26) Boundary of the Rauzy fractal set in $\RR \times \CC$ generated by $P(x) = x^4-x^3-x^2-x-1$, F. Durand et A. Messaoudi, Osaka J. of Math. 48 (2011), 471-496. (.pdf)

25) Combinatorics on Bratteli diagrams and dynamical systems, Combinatorics, Automata and Number Theory, Series Encyclopedia of Mathematics and its applications 135, Cambridge University Press 2010, 338-386. (.pdf)

24) Linearly repetitive Delone systems have a finite number of non periodic Delone system factors, M. I. Cortez, F. Durand et S. Petite, Proc. Amer. Math. Soc. 138 (2010), 1033-1046. (.pdf)

23) Eigenvalues of finite rank Bratteli-Vershik dynamical systems, X. Bressaud, F. Durand and A. Maass, Ergod. Th. & Dynam. Sys. 30 (2010), 639–664. (.pdf)

22) Minimal polynomial dynamics on the set of 3-adic integers, F. Durand and F. Paccaut, Bull. of the London Math. Soc. 41 (2009), 302-314. (.pdf)

21) Syndeticity and independent substitutions, F. Durand et M. Rigo, Adv. in Applied Math. 42 (2009), 1-22. (.pdf)

20) Self-similar tiling systems, topological factors and stretching factors, M. I. Cortez et F. Durand, Disc. and Comp. Geometry 40 (2008), 622-640. (.pdf)

19) Cobham-Semenov theorem and $\NN^d$-subshifts, F. Durand, Theo. Comp. Sc. 391 (2008), 20-38. (.pdf)

18 ) Necessary and sufficient conditions to be an eigenvalue for linearly recurrent dynamical Cantor systems, X. Bressaud, F. Durand et A. Maass, Journal of the London Mathematical Society 72 (2005), 799-816. (.pdf)

17) Local rates of Poincaré recurrence for rotations and weak mixing, J.-R. Chazottes et F. Durand, Discrete and Continuous Dynamical Systems 12 (2005) 175 - 183. (.pdf)

16) Words and morphisms with Sturmian erasures, F. Durand, A. Guerziz et M. Koskas, Bulletin of the Belgian Mathematical Society 11 (2004), 575-588. (.pdf)

Habilitation à diriger des recherches : Récurrence en Dynamique Topologique d’Entropie Nulle, soutenue le lundi 15 novembre 2004 à l’Université de Picardie Jules Verne (version longue et courte).

15) Constant-length substitutions and countable scrambled sets, F. Blanchard, F. Durand et A. Maass, Nonlinearity 17 (2004), 817-833. (.pdf)

14 ) Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems, M. I. Cortez, F. Durand, B. Host et A. Maass, Journal of the London Mathematical Society 67 (2003), 790-804. (.pdf)

13 ) Corrigendum and addendum to : Linearly recurrent subshifts have a finite number of non-periodic factors, F. Durand, Ergod. Th. & Dynam. Sys. 23 (2003), 663-669. (.pdf)

12 ) A note on limit laws for minimal Cantor systems with infinite periodic spectrum, F. Durand et A. Maass, Discrete and Continuous Dynamical Systems 9 (2003), 745-750. (.pdf)

11 ) A Theorem of Cobham for non primitive substitutions, F. Durand, Acta Arithmetica 104 (2002), 225—241. (.pdf)

10 ) Factors of Toeplitz flows and other almost 1-1 extensions over group rotations, T. Downarowicz et F. Durand, Math. Scand. 90 (2002), 57—72. (.pdf)

9 ) Combinatorial and Dynamical study of substitutions around the Theorem of Cobham, F. Durand, Dynamics and Randomness, Nonlinear Phenomena and Complex Systems, Kluwer Acad. Pub, 2002, 53 — 94. (.pdf)

8 ) Ergodic averages with deterministic weights, F. Durand et D. Schneider , Annales de l’Institut Fourier 52 (2002), 559—581. (.pdf)

7 ) Limit laws of entrance times for low complexity Cantor minimal systems, F. Durand et A. Maass , Nonlinearity 14 (2001), 683—700. (.pdf)

6 ) Orbit equivalence for sturmian subshifts, P. Dartnell, F. Durand et A. Maass , Studia Math. 142 (2000), 25—45. (.pdf)

5) Linearly recurrent subshifts have a finite number of non-periodic subshift factors, F. Durand, Ergod. Th. & Dynam. Sys. 20 (2000), 1061—1078. (.pdf)

4) Substitution dynamical systems, Bratteli diagrams and dimension groups, F. Durand, B. Host et C. Skau, Ergod. Th. & Dynam. Sys. 19 (1999), 953—993. (.pdf)

3) Sur les ensembles d’entiers reconnaissables, F. Durand, J. de Théorie des Nombres de Bordeaux 10 (1998), 65—84. (.pdf)

2) A generalization of Cobham’s theorem, F. Durand, Theory of Computing Systems 31 (1998), 169—185. (.pdf)

1) A characterization of substitutive sequences using return words, F. Durand, Discrete Mathematics 179 (1998), 89—101. (.pdf)

0) Contributions à l’étude des suites et systèmes dynamiques substitutifs. Thèse (1996), Université de la Méditerranée (Aix-Marseille II).