Numbers with complicated decimal expansions

DOI10.1007/BF01874357zbMath0822.11056MaRDI QIDQ1804754

Daniel Berend, Michael D. Boshernitzan

Publication date: 23 October 1995

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

continued fraction expansionsdecimal expansion\(g\)-adic expansionblock-complete sequenceblock-saturated sequencefinite sequence of digits

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Cites Work

• Uniform dilations
• On strong Liouville numbers (a problem of P. Erdős)
• The distribution of leading digits and uniform distribution mod 1
• Almost periodic sets and measures on the torus
• Uniform distribution and Hardy fields
• Multi-Invariant Sets on Tori
• On a result of Mahler on the decimal expansions of (nα)
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Arithmetical properties of the digits of the multiples of an irrational number
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