Discrete spectra and Pisot numbers
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Publication:1930102
DOI10.1016/j.jnt.2012.07.015zbMath1285.11106arXiv1103.4508OpenAlexW2088696790MaRDI QIDQ1930102
Vilmos Komornik, Shigeki Akiyama
Publication date: 10 January 2013
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.4508
Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)
Related Items (18)
On the topology of polynomials with bounded integer coefficients ⋮ On topology of polynomial type sequences with bounded integer coefficients ⋮ Alternate Base Numeration Systems ⋮ On the cardinality and complexity of the set of codings for self-similar sets with positive Lebesgue measure ⋮ Spectrum, algebraicity and normalization in alternate bases ⋮ On universal and periodic \(\beta\)-expansions, and the Hausdorff dimension of the set of all expansions ⋮ A proof of the Erdős-Joó-Komornik conjecture in the case of formal power series ⋮ Comments on the height reducing property. II ⋮ Matching for generalised \(\beta\)-transformations ⋮ Description of spectra of quadratic Pisot units ⋮ On the structure of \(\lambda\)-Cantor set with overlaps ⋮ Arithmetic progressions in self-similar sets ⋮ Notes on some of Kahane's works: Ingham type theorems and Bernoulli convolutions ⋮ On the complexity of the set of codings for self-similar sets and a variation on the construction of Champernowne ⋮ Finite type in measure sense for self-similar sets with overlaps ⋮ Confluent Parry numbers, their spectra, and integers in positive- and negative-base number systems ⋮ On a kind of self-similar sets with complete overlaps ⋮ On relations for rings generated by algebraic numbers and their conjugates
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