# Utilisateur·rice

Pierre • ARNOUX
Professeur (PR) • Affiliation : Aix-Marseille Université (AMU)
Site : Luminy • Bureau : 208 • Etage du bureau : 2 •

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Groupe(s) scientifiques(s) de l'utilisateur :

Rechercher mots clef :
Representation Enaction Concrete Abstract Metaphor Tilings Generalized substitution

Thématiques scientifiques :
• Analysis and complex geometry
• Measured dynamic systems
• Geometric dynamic systems
• Symbolic dynamic systems
• Geometric group theory
• Algebraic number theory, arithmetic geometry

# Publications HAL

2020/01 Annali della Scuola Normale Superiore di Pisa - ARNOUX-RAUZY INTERVAL EXCHANGE TRANSFORMATIONS

2019/02 - From concrete to abstract and back: Metaphor and Representation

2019/02 - From concrete to abstract and back: Metaphor and Representation

2018/08 Ergodic Theory and Dynamical Systems - On some symmetric multidimensional continued fraction algorithms

2016/01 RAIRO - Theoretical Informatics and Applications (RAIRO: ITA) - Note on occurrences of factors in circular words

2015/07 - Continued fractions: natural extensions and invariant measures

2014/08 Notices of the American Mathematical Society - WHAT IS... a Rauzy Fractal?

2014/01 Discrete and Continuous Dynamical Systems - Series A - Commensurable continued fractions

2014/01 Theoretical Computer Science - Random product of substitutions with the same incidence matrix

2013/03 Nonlinearity - Cross sections for geodesic flows and \alpha-continued fractions

2011/10 Experimental Mathematics - Geometrical Models for Substitutions

2011/09 Transactions of the American Mathematical Society - Algebraic numbers, free group automorphisms and substitutions on the plane

2008/01 Integers : Electronic Journal of Combinatorial Number Theory - Sturm Numbers and Substitution Invariance of 3iet Words

2007/01 Theoretical Computer Science - Functional Stepped Surfaces, Flips and Generalized Substitutions

2007/01 RAIRO - Theoretical Informatics and Applications (RAIRO: ITA) - Substitutions par des Motifs en Dimension 1

2006/08 - Finiteness properties for Pisot $S$-adic tilings

2006/01 Annales de l'Institut Fourier - Fractal representation of the attractive lamination of an automorphism of the free group

2005/09 - Generalized Substitutions and Stepped Surfaces

2001/01 - Tilings, Quasicrystals, Discrete Planes, Generalized Substitutions, and Multidimensional Continued Fractions