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====== Recherche ====== | ====== Recherche ====== | ||
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- | Tous les articles sont accessibles sur [[http:// | + | Tous les articles sont accessibles sur [[http:// |
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- | **Articles publiés.** | + | |
- | -Directional billiard complexity in rational polyhedra.Regular and chaotic dynamical systems. 2003, volume 8, numéro 1, pages 97-104. | + | |
- | -Billiard complexity in the hypercube. N.Bedaride & P.Hubert. Annales de l' | + | |
- | -Topological entropy of polyhedral billiard. Discrete and continuous dynamical systems. 2007, volume 19, numéro 1, pages 89-102. | + | |
- | -Classification of rotations on the torus T2. Theoretical Computer science. 2007, volume 385, issues 1-3, pages 214-225. | + | |
- | - Periodic trajectories in polyhedral billiard. Forum geometricorum. 2008 Volume 8, pages 107-120. | + | |
- | -Combinatoire du billard. 15pp. Séminaire de théorie spectrale et géométrie 2008. | + | |
- | - Directional complexity of the hypercubic billiard. Discrete mathematics. 2009 Volume 309, pp. 2053-2066. | + | |
- | - 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. | + | |
- | - Outer billiard outside regular polygons. N. Bédaride & J. Cassaigne (IML, Marseille). Journal of the London Mathematical Society. 2011, Numero 83 volume 2, 301-323. | + | |
- | - Characterization of quasi-rational polygons. N. Bédaride. Nonlinearity 25 (2012) 3099-3110. | + | |
- | - Geometric realizations of substitutive tilings. N. Bédaride & A. Hilion. Quarterly Journal of Mathematics. 2013 Volume 4, 255-279. | + | |
- | - 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. | + | |
- | - Regular simplex and periodic billiard orbits. N.Bédaride & M. Rao. Proceedings of the American Mathematical Society. 2014, Volume 142 (10),pages: 3511-3519. | + | |
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- | - No weak local rules for the 4p-fold tilings. N.Bédaride | + | |
- | - Weak local rules for planar octagonal tilings. N. Bédaride& Th. Fernique. Israel Journal of Mathematics. 2017 Volume 222, 63–89. | + | |
- | - 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. | + | |
- | - Symbolic dynamics for the piecewise rotations: Case of the bijective non symmetric maps. N. Bédaride | + | |
- | - Topological substitution and Rauzy fractal. N.Bédaride | + | |
- | - Canonical projection tiling defined by patterns. | + | |
- | - Graph towers, laminations and their invariant measures. | + | |
- | - Tower power for $S$-adics.N. Bédaride | + | |
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- | **Articles soumis** | + | |
- | * Symbolic dynamics for the piecewise rotations: Case of the bijective symmetric maps. N. Bédaride & I. Kaboré. 20 pp. | + | |
- | * Thermodynamic formalism and substitutions. N. Bédaride& | + | |
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**Articles en cours.** | **Articles en cours.** | ||
- | | + | * Expansive directions of cut-and-project |
- | * S-adic systems | + | |
+ | * Thermodynamics formalism and Thue Morse subshift. NB & J. Cassaigne & P. Hubert & R. Leplaideur. | ||