Institut de Mathématiques de Luminy

BIBLIOGRAPHIE - Pierre ARNOUX


Année
Publications
 Files Type
2011

Arnoux Pierre, Furukado Maki, Harriss Edmund, Ito Shunji.
Algebraic numbers, free group automorphisms and substitutions on the plane.
Trans. Amer. Math. Soc. 363, no. 9, 4651--4699, 2011.

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Arnoux Pierre, Bernat Julien, Bressaud Xavier.
Geometrical models for substitutions.
Experimental mathematics 20, no. 1, 97--127, 2011.

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2010

Arnoux Pierre, Finkel Alain.
Using mental imagery processes for teaching and research in mathematics and computer science.
International Journal of Mathematical Education in Science and Technology, 41, 229-242, 2010.

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2009

Arnoux Pierre, Schmidt Thomas A.
Veech surfaces with nonperiodic directions in the trace field.
Journal of modern Dynamics, 9 No2, 611-629, 2009.

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Arnoux Pierre.
Complexité de suites à valeurs dans un ensemble fini : quelques exemples [Complexity of sequences with values in a finite set: some examples].
Aspects des systèmes dynamiques, 53–67, Ed. Éc. Polytech., Palaiseau, 2009

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Arnoux Pierre, Duverney Daniel, Holton Derek.
The rise and fall of mathematical enrolment in the French Educational System: a case study.
International Journal of Mathematical Education in Science and Technology, 40, 43-57, 2009.

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2008 Arnoux Pierre, Barat Guy, Grabner Peter J., Thuswaldner Jörg M.
Journées de Numération, Graz University of Technology, April 16--20, 2007.
Monatsh. Math. 155, no. 3-4, 213--215, 2008.		   ACTI
  Arnoux Pierre, Berthé Valérie, Masáková Zuzana, Pelantová Edita.
Sturm numbers and substitution invariance of 3iet words.
Integers 8, A14, 17 pp., 2008. 		  ACL
2007 Arnoux Pierre, Berthé Valérie, Fernique Thomas, Jamet Damien.
Functional stepped surfaces, flips, and generalized substitutions.
Theoret. Comput. Sci. 380, no. 3, 251--265, 2007.		   ACL
2006 Arnoux Pierre, Berthé Valérie, Hilion Arnaud, Siegel Anne.
Fractal representation of the attractive lamination of an automorphism of the free group.
Numération, pavages, substitutions. Ann. Inst. Fourier (Grenoble) 56, no. 7, 2161--2212, 2006.		   ACL
2005 Arnoux Pierre, Fisher Albert M.
Anosov families, renormalization and non-stationary subshifts.
Ergodic Theory Dynam. Systems 25, no. 3, 661--709, 2005.		    
2004 Arnoux Pierre, Berthé Valérie, Siegel Anne.
Two-dimensional iterated morphisms and discrete planes.
Theoret. Comput. Sci. 319, no. 1-3, 145--176, 2004.		    
2002 Arnoux Pierre, Berthé Valérie.
Some open problems.
Substitutions in dynamics, arithmetics and combinatorics, 363--374, Lecture Notes in Math., 1794, Springer, Berlin, 2002.		    
  Arnoux Pierre.
Sturmian sequences.
Substitutions in dynamics, arithmetics and combinatorics, 143--198, Lecture Notes in Math., 1794, Springer, Berlin, 2002.		    
  Arnoux Pierre, Berthé Valérie, Ito Shunji.
Discrete planes, Z2-actions, Jacobi-Perron algorithm and substitutions.
Ann. Inst. Fourier (Grenoble), 52, 1001--1045, 2002.		    
2001 Arnoux Pierre, Fisher A. M.
The scenery flow for geometric structures on the torus : the linear setting.
Chinese Ann. Math. Ser. B 22, no. 4, 427--470, 2001.		    
  Arnoux Pierre, Berthé Valérie, Ei Hiromi, Ito Shunji.
Tilings, quasicrystals, discrete planes, generalized substitutions, and multidimensional continued fractions.
Discrete models: combinatorics, computation, and geometry (Paris, 2001), 059--078 (electronic), Discrete Math. Theor. Comput. Sci. Proc., AA, Maison Inform. Math. Discrèt. (MIMD), Paris, 2001.		    
  Arnoux Pierre, Ito Shunji.
Pisot substitutions and Rauzy fractals.
Journées Montoises d'Informatique Théorique (Marne-la-Vallée, 2000). Bull. Belg. Math. Soc. Simon Stevin 8, no. 2, 181--207, 2001		    
  Sano Yuki, Arnoux Pierre, Ito Shunji.
Higher dimensional extensions of substitutions and their dual maps.
J. Anal. Math. 83, 183--206, 2001.		    
  Arnoux Pierre.
Recoding Sturmian sequences on a subshift of finite type. Chaos from order, a worked out example.
Complex systems (Santiago, 1998), 1--67, Nonlinear Phenom. Complex Systems, 6, Kluwer Acad. Publ., Dordrecht, 2001		    
2000 Arnoux Pierre and Hubert Pascal
Fractions continues sur les surfaces de Veech [Continued fractions on Veech surfaces],
J. Anal. Math. 81, 35--64, 2000		    
1999 Arnoux Pierre, Ferenczi Sébastien and Hubert Pascal
Trajectories of rotations,
Acta Arithmetica 87, n° 3, pp.209-217, 1999		 lien  
1996 Arnoux Pierre and Mauduit Christian
Complexité de suites engendrées par des récurrences unipotentes [Complexity of sequences generated by unipotent recurrences],
Acta Arithmetica, vol. 76, n° 1, pp.85-97, 1996		 [AM96]
1994 Arnoux Pierre, Mauduit Christian, Shiokawa Iekata and Tamura Jun-ichi
Rauzy's conjecture on billiards in the cube,
Tokyo J. Math. 17, no. 1, 211--218, 1994		  
  Arnoux Pierre
Le codage du flot géodésique sur la surface modulaire [Coding of the geodesic flow on the modular surface],
Enseign. Math. (2) 40, no. 1-2, 29--48, 1994		  
  Arnoux Pierre, Mauduit Christian, Shiokawa Iekata and Tamura Jun-ichi
Complexity of sequences defined by billiard in the cube,
Bull. Soc. Math. France 122, no. 1, 1--12, 1994		  
1993 Arnoux Pierre and Nogueira Arnaldo
Mesures de Gauss pour des algorithmes de fractions continues multidimensionnelles [Gauss measures for multidimensional continued fraction algorithms],
Ann. Sci. École Norm. Sup. (4) 26, no. 6, 645--664, 1993		  
1991 Arnoux Pierre and Fathi Albert
Un exemple de difféomorphisme pseudo-Anosov [An example of pseudo-Anosov diffeomorphism], C. R. Acad. Sci. Paris Sér. I Math. 312, no. 2, 241--244, 1991		  
  Arnoux Pierre and Rauzy Gérard
Représentation géométrique de suites de complexité 2n+1 [Geometric representation of sequences of complexity 2n+1],
Bull. Soc. Math. France 119, no. 2, 199--215, 1991		  
  Arnoux Pierre and Marin Alexis
The Kühnel triangulation of the complex projective plane from the view point of complex crystallography. II,
Mem. Fac. Sci. Kyushu Univ. Ser. A 45, no. 2, 167--244, 1991		  
1989 Arnoux Pierre.
Some remarks about Fibonacci multiplication.
Appl. Math. Lett. 2, no. 4, 319--320, 1989		  
  Arnoux Pierre
Un exemple de semi-conjugaison entre un échange d'intervalles et une translation sur le tore [An example of semiconjugacy between an interval exchange and a shift on the torus],
Bull. Soc. Math. France 116 (1988), no. 4, 489--500, 1989		  
  Arnoux Pierre.
Ergodicité générique des billards polygonaux (d'après Kerckhoff, Masur, Smillie) [Generic ergodicity of polygonal billiards (following Kerckhoff, Masur, Smillie)].
Séminaire Bourbaki, Vol. 1987/88. Astérisque No. 161-162 (1988), Exp. No. 696, 5, 203--221, 1989		  
1986 Arnoux Pierre and Levitt Gilbert.
Sur l'unique ergodicité des 1-formes fermées singulières [The unique ergodicity of singular closed 1-forms].
Invent. Math. 84, no. 1, 141--156, 1986		  
1985 Arnoux Pierre, Ornstein Donald S. and Weiss Benjamin.
Cutting and stacking, interval exchanges and geometric models.
Israel J. Math. 50, no. 1-2, 160--168, 1985		  
1981 Arnoux Pierre.
Échanges d'intervalles et flots sur les surfaces.
Ergodic theory (Sem., Les Plans-sur-Bex, 1980), pp. 5--38, Monograph. Enseign. Math., 29, Univ. Genève, Geneva, 1981		  
  Arnoux Pierre and Yoccoz Jean-Christophe.
Construction de difféomorphismes pseudo-Anosov.
C. R. Acad. Sci. Paris Sér. I Math. 292, no. 1, 75--78, 1981		  


Last update : november 24, 2011, EL.