scientific article; zbMATH DE number 932341

zbMath0874.11013MaRDI QIDQ4894716

Imre Kátai, Zoltán Daróczy

Publication date: 3 December 1996

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zbMATH Keywords

Hausdorff dimensionLebesgue measurerepresentation of real numbersstructure of univoque numbers

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Hausdorff and packing measures (28A78) Other number representations (11A67)

Related Items (35)

Topology of the set of univoque bases ⋮ Topology of univoque sets in real base expansions ⋮ On small bases which admit countably many expansions with multiple digits ⋮ Hausdorff dimension of univoque sets and devil's staircase ⋮ On the topological structure of univoque sets ⋮ On univoque points for self-similar sets ⋮ Univoque bases and Hausdorff dimension ⋮ Unique expansions and intersections of Cantor sets ⋮ Finite orbits in multivalued maps and Bernoulli convolutions ⋮ Metric results for numbers with multiple \(q\)-expansions ⋮ Unique infinite expansions in noninteger bases ⋮ 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 ⋮ Univoque Numbers and Automatic Sequences ⋮ Critical bases for ternary alphabets ⋮ On univoque and strongly univoque sets ⋮ Entropy, topological transitivity, and dimensional properties of unique 𝑞-expansions ⋮ Cantor type functions in non-integer bases ⋮ Digital expansions with negative real bases ⋮ Greedy expansions and sets with deleted digits ⋮ On the number of unique expansions in non-integer bases ⋮ Expansions in Cantor real bases ⋮ Bases in which some numbers have exactly two expansions ⋮ Unique expansions of real numbers ⋮ Numbers with simply normal β-expansions ⋮ Hausdorff dimension of multiple expansions ⋮ Fibonacci expansions ⋮ Hausdorff dimension of frequency sets of univoque sequences ⋮ Relative bifurcation sets and the local dimension of univoque bases ⋮ On the specification property and synchronization of uniqueq-expansions ⋮ On the smallest base in which a number has a unique expansion ⋮ On univoque Pisot numbers ⋮ Dynamical properties of \(S\)-gap shifts and other shift spaces ⋮ Univoque sets for real numbers

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