Self-induced systems
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Publication:1661526
DOI10.1007/s11854-018-0051-xzbMath1408.37033arXiv1511.01320OpenAlexW2962813131MaRDI QIDQ1661526
Samuel Petite, Fabien Durand, Nicholas S. Ormes
Publication date: 16 August 2018
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.01320
Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Symbolic dynamics (37B10)
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Substitution-based structures with absolutely continuous spectrum, Spectral properties of substitutions on compact alphabets, On the structure of generic subshifts, Substitution-dynamics and invariant measures for infinite alphabet-path space, The mapping class group of a minimal subshift, Spectral properties of Schrödinger operators associated with almost minimal substitution systems, Realization of big centralizers of minimal aperiodic actions on the Cantor set
Cites Work
- Unnamed Item
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- Substitutions in dynamics, arithmetics and combinatorics
- Measured topological orbit and Kakutani equivalence
- Any two irrational rotations are nearly continuously Kakutani equivalent
- Substitution dynamical systems - spectral analysis
- Nonorientable recurrence of flows and interval exchange transformations
- Power of words and recognizability of fixpoints of a substitution
- A characterization of substitutive sequences using return words
- An extension of Lagrange's theorem to interval exchange transformations over quadratic fields
- Structure of three-interval exchange transformations. II: A combinatorial description of the trajectories
- Interval exchange transformation extension of a substitution dynamical system
- An algorithm to identify automorphisms which arise from self-induced interval exchange transformations
- Topological conjugacy to given constant length substitution minimal systems
- Nearly continuous Kakutani equivalence of adding machines
- Substitution dynamical systems on infinite alphabets
- Orbit equivalence and Kakutani equivalence with Sturmian subshifts
- DECIDABILITY OF UNIFORM RECURRENCE OF MORPHIC SEQUENCES
- Échanges d'intervalles et transformations induites
- Un exemple de semi-conjugaison entre un échange d'intervalles et une translation sur le tore
- Finite-rank Bratteli–Vershik diagrams are expansive
- Induced subsystems associated to a Cantor minimal system
- Nombres algébriques et substitutions
- Toeplitz minimal flows which are not uniquely ergodic
- Substitutional dynamical systems, Bratteli diagrams and dimension groups
- Représentation géométrique de suites de complexité $2n+1$
- Systems of finite rank
- Bratteli-Vershik models for Cantor minimal systems associated to interval exchange transformations
- Dynamical properties of the Pascal adic transformation
- ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS
- Reconnaissabilité des substitutions et complexité des suites automatiques
- Substitution dynamical systems : algebraic characterization of eigenvalues
- Equivalence of measure preserving transformations
- Bratteli–Vershik models for Cantor minimal systems: applications to Toeplitz flows
- An Introduction to Symbolic Dynamics and Coding
- Flow–orbit equivalence for minimal Cantor systems
- Combinatorics on Bratteli diagrams and dynamical systems
- Interval exchange transformations
- Pisot substitutions and Rauzy fractals