Rotation encoding and self-similarity phenomenon
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Publication:558113
DOI10.5802/jtnb.363zbMath1113.37003OpenAlexW2025001782MaRDI QIDQ558113
Publication date: 30 June 2005
Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=JTNB_2002__14_2_351_0
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Related Items (17)
Monodromie unipotente maximale, congruences “à la Lucas” et indépendance algébrique ⋮ On the transcendence of real numbers with a regular expansion. ⋮ A note on abelian returns in rotation words ⋮ Palindromic complexity of codings of rotations ⋮ Balances for fixed points of primitive substitutions. ⋮ Matrices of 3-iet preserving morphisms ⋮ Sturmian jungle (or garden?) on multiliteral alphabets ⋮ Linearly repetitive Delone systems have a finite number of nonperiodic Delone system factors ⋮ Exchange of three intervals: substitutions and palindromicity ⋮ Note on powers in three interval exchange transformations ⋮ Combinatorial properties of infinite words associated with cut-and-project sequences ⋮ Symbolic discrepancy and self-similar dynamics. ⋮ On powers of words occurring in binary codings of rotations ⋮ Morphisms fixing words associated with exchange of three intervals ⋮ Balances and Abelian Complexity of a Certain Class of Infinite Ternary Words ⋮ Itineraries of rigid rotations and diffeomorphisms of the circle ⋮ Codings of rotations on two intervals are full
Cites Work
- Systèmes de numération et fonctions fractales relatifs aux substitutions. (Numeration systems and fractal functions related to substitutions)
- Gauss measures for transformations on the space of interval exchange maps
- Codings of rotations and continued fractions
- Substitution invariant cutting sequences
- Sequences with subword complexity \(2n\)
- A characterization of substitutive sequences using return words
- An extension of Lagrange's theorem to interval exchange transformations over quadratic fields
- Covering the positive integers by disjoint sets of the form \(\{[n\alpha+\beta: n=1,2,\dots \}\)]
- Imbalances in Arnoux-Rauzy sequences
- Well-balanced sequences
- Balance properties of multi-dimensional words
- Finite Gauss measure on the space of interval exchange transformations. Lyapunov exponents
- Échanges d'intervalles et transformations induites
- Représentation géométrique de suites de complexité $2n+1$
- Combinatoire des codages de rotations
- Répartition des suites (nα)n∈Net substitutions
- On a conjecture of Erdös and Szüsz related to uniform distribution mod 1
- Sequences with minimal block growth
- Interval exchange transformations
- Interval exchange transformations
- Substitutions and interval exchange transformations of rotation class
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