Recherche

Thèmes scientifiques

Je m'intéresse plus particulièrement aux notions suivantes:

  • Systèmes dynamiques. Théorie ergodique. Dynamique Symbolique.
  • Isométries par morceaux. Billard.
  • Pavages.
  • Combinatoire des mots.

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Tous les articles sont accessibles sur Arxiv.

Articles publiés.

  1. Directional billiard complexity in rational polyhedra.Regular and chaotic dynamical systems. 2003, volume 8, numéro 1, pages 97-104.
  2. Billiard complexity in the hypercube. N.Bedaride & P.Hubert. Annales de l'institut Fourier. 2007, tome 57, numéro 3, pages 719-738.
  3. Topological entropy of polyhedral billiard. Discrete and continuous dynamical systems. 2007, volume 19, numéro 1, pages 89-102.
  4. Classification of rotations on the torus T2. Theoretical Computer science. 2007, volume 385, issues 1-3, pages 214-225.
  5. Periodic trajectories in polyhedral billiard. Forum geometricorum. 2008 Volume 8, pages 107-120.
  6. Combinatoire du billard. 15pp. Séminaire de théorie spectrale et géométrie 2008.
  7. Directional complexity of the hypercubic billiard. Discrete mathematics. 2009 Volume 309, pp. 2053-2066.
  8. Number of balanced words for a given length and height. N. Bédaride & E. Domenjoud, D. Jamet, J.L. Remy (LORIA, Nancy). Discrete mathematics and theoretical computer sciences. 2010, volume 3, 41-62.
  9. Outer billiard outside regular polygons. N. Bédaride & J. Cassaigne (IML, Marseille). Journal of the London Mathematical Society. 2011, Numero 83 volume 2, 301-323.
  10. Characterization of quasi-rational polygons. N. Bédaride. Nonlinearity 25 (2012) 3099-3110.
  11. Geometric realizations of substitutive tilings. N. Bédaride & A. Hilion. Quarterly Journal of Mathematics. 2013 Volume 4, 255-279.
  12. Minoration of complexity function associated to translations on the torus. N. Bédaride & J.F. Bertazzon. Monatshefte fur Mathematik. 2013 Volume 171, Issue 3, Page 291-304.
  13. Regular simplex and periodic billiard orbits. N.Bédaride & M. Rao. Proceedings of the American Mathematical Society. 2014, Volume 142 (10),pages: 3511-3519.
  14. When periodicities enforce aperiodicity. N. Bédaride & Th. Fernique (LIPN, Paris). Communication in Mathematical Physics. 2015 Volume 335, Issue 3, Page 1099-1120.
  15. No weak local rules for the 4p-fold tilings. N.Bédaride & Th. Fernique. 14pp. Discrete and computational geometry. 2015 Volume 54, Issue 4, Page 980-992.
  16. Weak local rules for planar octagonal tilings. N. Bédaride& Th. Fernique. Israel Journal of Mathematics. 2017 Volume 222, 63–89.
  17. An example of PET. Computation of the Hausdorff dimension. N. Bédaride& J.F. Bertazzon. Transactions of the AMS. 2018 Vol 370, no. 1, 357–391.
  18. Symbolic dynamics for the piecewise rotations: Case of the bijective non symmetric maps. N. Bédaride & I. Kaboré. Qualitative theory of dynamical systems. 2018 Vol 17(3), 651-664.
  19. Topological substitution and Rauzy fractal. N.Bédaride & A. Hilion & T. Jolivet. Bulletin de la SMF. 2018 Tome 146, Fascicule 3, p575-612.
  20. Canonical projection tiling defined by patterns. Avec Th. Fernique. Geometriae Dedicata. 2019. 20 pages.
  21. Graph towers, laminations and their invariant measures. N. Bédaride& A. Hilion& M. Lustig. Journal of London mathematical Society 2019. 50 pages.

Articles soumis

  • Symbolic dynamics for the piecewise rotations: Case of the bijective symmetric maps. N. Bédaride & I. Kaboré. 20pp.
  • Thermodynamic formalism and substitutions. N. Bédaride& P. Hubert& R. Leplaideur. 27pp.
  • Tower power for $S$-adics. N. Bédaride & A. Hilion & M. Lustig. 30 pages.

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Articles en cours.

  • Cohomology and cut and project tilings. N. Bédaride & A. G. Lecuona. 30pp.
  • S-adic systems of complexity $2n+1$ and translations on the torus. N. Pytheas Fogg. 30 pages.

Autres travaux.

Thèse de mathématiques: Étude du billard dans un polyèdre. 27 mai 2005. Institut de Mathématiques de Luminy.

Habilitation à diriger des recherches: Substitutions et isométries par morceaux. 04 novembre 2014. Institut de Mathématiques de Marseille.

  • wikipage.txt
  • Dernière modification: 2019/10/17 06:04
  • par bedaride