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   - Directional complexity of the hypercubic billiard. Discrete mathematics. 2009 Volume 309, pp. 2053-2066.   - 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.   - 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.+  - 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.   - 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.   - Geometric realizations of substitutive tilings. N. Bédaride & A. Hilion. Quarterly Journal of Mathematics. 2013 Volume 4, 255-279.
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   - When periodicities enforce aperiodicity. N. Bédaride & Th. Fernique (LIPN, Paris). Communication in Mathematical Physics. 2015 Volume 335, Issue 3, Page 1099-1120.   - When periodicities enforce aperiodicity. N. Bédaride & Th. Fernique (LIPN, Paris). Communication in Mathematical Physics. 2015 Volume 335, Issue 3, Page 1099-1120.
   -  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. ​   -  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. ​
-  -  An example of PET. Computation of the Hausdorff dimension. N. Bédaride&​ J.F. Bertazzon. Transactions of the AMS. To appear 39pp.  +  - Weak local rules for planar octagonal tilings. N. Bédaride&​ Th. Fernique. Israel Journal of Mathematics. 2017 Volume 222, 63–89. 
-  - Weak local rules for planar octagonal tilings. N. Bédaride& ​ThFerniqueIsrael Journal ​of MathematicsTo appear 25pp+  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.  
-  - Topological substitution and Rauzy fractal. N.Bédaride & A. Hilion & T. Jolivet. Bulletin de la SMF. To appear 29pp+  -  ​Symbolic dynamics ​for the piecewise rotations: Case of the bijective non symmetric maps. N. Bédaride & IKaboréQualitative theory ​of dynamical systems2018 Vol 17(3), 651-664
 +  - Topological substitution and Rauzy fractal. N.Bédaride & A. Hilion & T. Jolivet. Bulletin de la SMF. 2018 Tome 146, Fascicule 3, p575-612
 +  - Canonical projection tiling defined by patterns. ​ Avec  Th. Fernique. Geometriae Dedicata. 2019. 20 pages.
  
  
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   * Symbolic dynamics for the piecewise rotations: Case of the bijective symmetric maps. N. Bédaride & I. Kaboré. 20pp.   * 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. 44pp.   * Thermodynamic formalism and substitutions. N. Bédaride&​ P. Hubert& R. Leplaideur. 44pp.
-  * Symbolic dynamics ​for the piecewise rotations: Case of the bijective non symmetric maps. N. Bédaride & IKaboré17pp.+  * Graph towers, laminations and their invariant measures. ​ N. Bédaride& ​ A. Hilion& M. Lustig. 50 pages. 
 +  * Tower power for $S$-adics N. Bédaride &  A. Hilion & MLustig30 pages. 
 + 
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 **Articles en cours.** **Articles en cours.**
  
-  * Invariant measures for train track towers. N. Bédaride&​ A. Hilion& M. Lustig. 50pp. 
   * Cohomology and cut and project tilings. N. Bédaride & A. G. Lecuona. 30pp.   * 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. 20 pages.
  
  
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