COMBINATORIAL PROPERTIES OF ARNOUX–RAUZY SUBSHIFTS AND APPLICATIONS TO SCHRÖDINGER OPERATORS
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Publication:5315850
DOI10.1142/S0129055X03001758zbMath1081.81521MaRDI QIDQ5315850
David Damanik, Luca Q. Zamboni
Publication date: 9 September 2005
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Difference operators (39A70) Random linear operators (47B80) Symbolic dynamics (37B10) Linear difference operators (47B39)
Related Items (13)
Reciprocal Sum of Palindromes ⋮ Palindromic complexity of infinite words associated with simple Parry numbers ⋮ Factor versus palindromic complexity of uniformly recurrent infinite words ⋮ Arnoux-Rauzy interval exchanges ⋮ Episturmian words: a survey ⋮ Zero-measure Cantor spectrum for Schrödinger operators with low-complexity potentials ⋮ On the least number of palindromes contained in an infinite word ⋮ Sturmian and Episturmian Words ⋮ Matrices of 3-iet preserving morphisms ⋮ Morphic images of episturmian words having finite palindromic defect ⋮ A condition of Boshernitzan and uniform convergence in the multiplicative ergodic theorem ⋮ Palindromic richness ⋮ Total palindrome complexity of finite words
Cites Work
- Unnamed Item
- On the number of factors of Sturmian words
- Absence of localization in a class of Schrödinger operators with quasiperiodic potential
- Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrödinger operators
- The index of Sturmian sequences
- Sturmian words and words with a critical exponent
- Uniform spectral properties of one-dimensional quasicrystals. III: \(\alpha\)-continuity.
- Measure zero spectrum of a class of Schrödinger operators
- Episturmian words and episturmian morphisms
- Spectral properties of one dimensional quasi-crystals
- Singular spectrum of Lebesgue measure zero for one-dimensional quasicrystals
- Linearly recurrent circle map subshifts and an application to Schrödinger operators
- Singular continuous spectrum for palindromic Schrödinger operators
- Palindromes and Sturmian words
- Quantum dynamics and decompositions of singular continuous spectra
- Return words in Sturmian and episturmian words
- JACOBI MATRICES WITH RANDOM POTENTIALS TAKING FINITELY MANY VALUES
- Substitutional dynamical systems, Bratteli diagrams and dimension groups
- Représentation géométrique de suites de complexité $2n+1$
- Linearly recurrent subshifts have a finite number of non-periodic subshift factors
- Frequencies of factors in Arnoux–Rauzy sequences
- Fractional powers in Sturmian words
- Episturmian words and some constructions of de Luca and Rauzy
- Singular continuous spectrum for a class of substitution Hamiltonians. II.
- Linear repetitivity. I: Uniform subadditive ergodic theorems and applications
- A palindromic half-line criterion for absence of eigenvalues and applications to substitution Hamiltonians
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