On numbers having finite beta-expansions

DOI10.1017/S0143385708000771zbMath1253.11095OpenAlexW1967204992MaRDI QIDQ3645394

Toufik Zaimi

Publication date: 18 November 2009

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385708000771

Mathematics Subject Classification ID

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 (3)

Beta expansion for some particular sequences of Salem numbers ⋮ On the distribution of certain Pisot numbers ⋮ On the beta expansion of Salem numbers of degree 8

Cites Work

• On an approximation property of Pisot numbers. II
• Confluent linear numeration systems
• Developments in non-integer bases
• On a property of Pisot numbers and related questions
• \(\beta\)-expansions and symbolic dynamics
• A certain finiteness property of Pisot number systems
• On an approximation property of Pisot numbers
• Meyer's concept of quasicrystal and quasiregular sets
• Approximation by polynomials with bounded coefficients
• Arithmetic Meyer sets and finite automata
• Finite beta-expansions
• Representations for real numbers and their ergodic properties
• On theβ-expansions of real numbers
• Representations of numbers and finite automata
• Beta-integers as natural counting systems for quasicrystals

This page was built for publication: On numbers having finite beta-expansions