Univoque sets for real numbers

DOI10.4064/FM227-1-5zbMath1368.11089OpenAlexW2335667067MaRDI QIDQ2875435

Bo Tan, Jun Wu, Fan Lü

Publication date: 14 August 2014

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/fm227-1-5

zbMATH Keywords

Lebesgue measurequasi-greedy expansionunivoque sethausdorff dimension

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55)

Related Items (8)

Univoque graphs for non-integer base expansions ⋮ On small bases which admit countably many expansions with multiple digits ⋮ Algebraic sums and products of univoque bases ⋮ APPROXIMATION ORDERS OF A REAL NUMBER IN A FAMILY OF BETA-DYNAMICAL SYSTEMS ⋮ Univoque bases of real numbers: simply normal bases, irregular bases and multiple rationals ⋮ On small univoque bases of real numbers ⋮ Univoque bases of real numbers: local dimension, devil's staircase and isolated points ⋮ On the smallest base in which a number has a unique expansion

Cites Work

• Unnamed Item
• Intersections of homogeneous Cantor sets and beta-expansions
• Representations for real numbers and their ergodic properties
• On theβ-expansions of real numbers
• Almost Every Number Has a Continuum of b-Expansions
• Combinatorics of linear iterated function systems with overlaps

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