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Experimental Mathematics Volume 20, 2011 - Issue 1
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Original Articles

Geometrical Models for Substitutions

Pierre Arnoux Institut de Mathématiques de Luminy, CNRS U.M.R. 6206, 163, avenue de Luminy, Case 907, 13288, Marseille Cedex 09, France
,
Julien Bernat IUFM de Lorraine et Institut Elie Cartan, CNRS U.M.R. 7502, Université Henri Poincarée Nancy 1, B.P. 239, F-54506, Vandoeuvre-lés-Nancy Cedex, France
&
Xavier Bressaud Université Paul Sabatier, Institut de Mathématiques de Toulouse, F-31062, Toulouse Cedex 9, France
Pages 97-127 | Received 09 Nov 2008, Accepted 25 Mar 2009, Published online: 11 May 2011

Citations (11)

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Pascal Hubert & Olga Paris-Romaskevich. (2022) Triangle Tiling Billiards and the Exceptional Family of their Escaping Trajectories: Circumcenters and Rauzy Gasket. Experimental Mathematics 31:1, pages 58-87.
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Articles from other publishers (10)

PAUL MERCAT. (2023) Geometrical representation of subshifts for primitive substitutions. Ergodic Theory and Dynamical Systems, pages 1-28.
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Benoit Loridant & Milton Minervino. (2018) Geometrical Models for a Class of Reducible Pisot Substitutions. Discrete & Computational Geometry 60:4, pages 981-1028.
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MILTON COBO, RODOLFO GUTIÉRREZ-ROMO & ALEJANDRO MAASS. (2017) Wandering intervals in affine extensions of self-similar interval exchange maps: the cubic Arnoux–Yoccoz map. Ergodic Theory and Dynamical Systems 38:7, pages 2537-2570.
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Milton Cobo, Rodolfo Gutiérrez-Romo & Alejandro Maass. (2018) Characterization of minimal sequences associated with self-similar interval exchange maps. Nonlinearity 31:4, pages 1121-1154.
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Hieu Trung Do & Thomas A. Schmidt. (2016) New infinite families of pseudo-Anosov maps with vanishing Sah-Arnoux-Fathi invariant. Journal of Modern Dynamics 10:02, pages 541-561.
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Víctor F. Sirvent. (2014) Self-similar sets satisfying the common point property. Chaos, Solitons & Fractals 69, pages 117-128.
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Xavier Bressaud, Alexander I. Bufetov & Pascal Hubert. (2014) Deviation of ergodic averages for substitution dynamical systems with eigenvalues of modulus 1. Proceedings of the London Mathematical Society 109:2, pages 483-522.
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Pierre Arnoux, Masahiro Mizutani & Tarek Sellami. (2014) Random product of substitutions with the same incidence matrix. Theoretical Computer Science 543, pages 68-78.
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Kariane Calta & Thomas A. Schmidt. (2013) Infinitely many lattice surfaces with special pseudo-Anosov maps. Journal of Modern Dynamics 7:2, pages 239-254.
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XAVIER BRESSAUD & YANN JULLIAN. (2012) INTERVAL EXCHANGE TRANSFORMATION EXTENSION OF A SUBSTITUTION DYNAMICAL SYSTEM. Confluentes Mathematici 04:04, pages 1250005.
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