On the topological structure of univoque sets

By Vilmos Komornik, Paola Loreti. 2007

94 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/08f552b1be48174fedbbc43985f3cc4324948b3a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Wenxia Li
2. Derong Kong
3. Martijn de Vries
4. Vilmos Komornik
5. Nikita Sidorov

In Geometry and Topology

1. Wenxia Li
2. Derong Kong
3. Vilmos Komornik
4. Martijn de Vries
5. Nikita Sidorov

In Mathematical Physics

1. Vilmos Komornik
2. Wenxia Li
3. Derong Kong
4. Martijn de Vries
5. Nikita Sidorov

Citations in the corpus

• Hausdorff dimension of univoque sets and Devil's staircase (2015, methodology): “Furthermore, we recall from [23] that q ∈ U if and only if”
• Unique expansions of real numbers (2006, methodology): “Hence, a sequence satisfying (4.2) and (4.3) is the quasi-greedy expansion of 1 in base q for some q ∈ U. The following two lemmas are obtained in [ KL3 ].”
• Expansions in non-integer bases: Lower, middle and top orders (2006, background): “The second claim follows from the fact that U ∩ (qKL, qKL + δ) has the cardinality of the continuum for any δ > 0, which in turn is a consequence of the fact that the closure of U is a Cantor set ‐ see [ 9, Theorem 1.1 ].”