Conjugacy of unimodular Pisot substitution subshifts to domain exchanges

DOI10.5802/ahl.188arXiv1408.2110OpenAlexW4389625867MaRDI QIDQ6191451

Samuel Petite, Fabien Durand

Publication date: 7 March 2024

Published in: Annales Henri Lebesgue (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.2110

zbMATH Keywords

eigenvaluessubstitutionssubshiftsPisot conjectureminimal Cantor systemsgeometric realizationsdomain exchanges

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Cites Work

• Unnamed Item
• Unnamed Item
• Pure discrete spectrum for a class of one-dimensional substitution tiling systems
• Substitutions in dynamics, arithmetics and combinatorics
• Substitution dynamical systems. Spectral analysis
• Power of words and recognizability of fixpoints of a substitution
• On recognizable sets of integers
• A characterization of substitutive sequences using return words
• A generalization of Cobham's theorem
• Symbolic discrepancy and self-similar dynamics.
• Pure discrete spectrum dynamical system and periodic tiling associated with a substitution
• Geometric realization and coincidence for reducible non-unimodular Pisot tiling spaces with an application to \(\beta\)-shifts
• Geometric representation of substitutions of Pisot type
• Substitutive Arnoux-Rauzy sequences have pure discrete spectrum
• Valeurs propres des systèmes dynamiques définis par des substitutions de longueur variable
• Geometric theory of unimodular Pisot substitutions
• On the eigenvalues of finite rank Bratteli–Vershik dynamical systems
• Nombres algébriques et substitutions
• Substitutional dynamical systems, Bratteli diagrams and dimension groups
• Représentation géométrique de suites de complexité $2n+1$
• The spectrum of dynamical systems arising from substitutions of constant length
• Geometric realizations of substitutions
• Coincidence for substitutions of Pisot type
• Reprsentation des systmes dynamiques substitutifs non unimodulaires
• Two-symbol Pisot substitutions have pure discrete spectrum
• The Pisot conjecture for -substitutions
• Reconnaissabilité des substitutions et complexité des suites automatiques
• Substitution dynamical systems : algebraic characterization of eigenvalues
• Zero-dimensional covers of finite dimensional dynamical systems
• On the Pisot Substitution Conjecture
• NECESSARY AND SUFFICIENT CONDITIONS TO BE AN EIGENVALUE FOR LINEARLY RECURRENT DYNAMICAL CANTOR SYSTEMS
• Pisot substitutions and Rauzy fractals

This page was built for publication: Conjugacy of unimodular Pisot substitution subshifts to domain exchanges