On gaps in Rényi \(\beta\)-expansions of unity for \(\beta>1\) an algebraic number
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Publication:2372786
DOI10.5802/aif.2250zbMath1177.11013OpenAlexW2460133523MaRDI QIDQ2372786
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_2565_0
Density, gaps, topology (11B05) Symbolic dynamics (37B10) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Approximation to algebraic numbers (11J68)
Related Items (10)
Dynamical directions in numeration ⋮ Diffraction spectra of weighted Delone sets on beta-lattices with beta a quadratic unitary Pisot number ⋮ The points with dense orbit under the \(\beta\)-expansions of different bases ⋮ On a class of lacunary almost Newman polynomials modulo \(p\) and density theorems ⋮ \(\beta\)-expansion and transcendence in \(\mathbb F_q((x^{-1}))\) ⋮ A devil's staircase from rotations and irrationality measures for Liouville numbers ⋮ Alphabets, rewriting trails and periodic representations in algebraic bases ⋮ Dynamics forβ-shifts and Diophantine approximation ⋮ On the dichotomy of Perron numbers and beta-conjugates ⋮ On the beta-expansions of 1 and algebraic numbers for a Salem number beta
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