Diffraction spectra of weighted Delone sets on beta-lattices with beta a quadratic unitary Pisot number
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Publication:2372781
DOI10.5802/aif.2245zbMath1119.52015OpenAlexW2493431131MaRDI QIDQ2372781
Jean-Louis Verger-Gaugry, Jean-Pierre Gazeau
Publication date: 1 August 2007
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_2006__56_7_2437_0
Diffraction, scattering (78A45) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Harmonic analysis in one variable (42A99)
Related Items (6)
Dynamical directions in numeration ⋮ On gaps in Rényi \(\beta\)-expansions of unity for \(\beta>1\) an algebraic number ⋮ Metric theorems for continued \(\beta\)-fractions ⋮ Asymptotic behavior of beta-integers ⋮ On the spectrum of the Thue-Morse quasicrystal and the rarefaction phenomenon ⋮ Noncommutative reading of the complex plane through Delone sequences
Cites Work
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- Geometric study of the beta-integers for a Perron number and mathematical quasicrystals
- Symmetry groups for beta-lattices
- Substitutions and \(\beta\) systems of numeration
- Substitutions in dynamics, arithmetics and combinatorics
- Geometric models for quasicrystals. I. Delone sets of finite type
- Additive and multiplicative properties of point sets based on beta-integers.
- Almost periodic measures and long-range order in Meyer sets
- Dirac combs
- On diffraction by aperiodic structures
- On gaps in Rényi \(\beta\)-expansions of unity for \(\beta>1\) an algebraic number
- Nombres de Pisot, nombres de Salem et analyse harmonique. Cours Peccot donne au College de France en avril-mai 1969
- A classification of (some) Pisot-cyclotomic numbers
- Finite beta-expansions
- Representations for real numbers and their ergodic properties
- On theβ-expansions of real numbers
- On Lower Bounds of the Density of Delone Sets and Holes in Sequences of Sphere Packings
- WHICH DISTRIBUTIONS OF MATTER DIFFRACT ? AN INITIAL INVESTIGATION
- Systems of Numeration
- Fourier analysis of unbounded measures on locally compact abelian groups
- Beta-integers as natural counting systems for quasicrystals
- Weighted Dirac combs with pure point diffraction
- Almost periodic measures
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