Yuru Zou

activity

20212026

collaborators

4 papers

math.DS2026

Invariant measure for double base expansions

Wenduo Huang, Vilmos Komorni, Yuru Zou

Given a pair $Q = (q_{0}, q_{1}) \in (1, \infty)^{2}$ with $q_{0} + q_{1} \geq q_{0} q_{1}$ , a sequence $(c_{i}) \in {0, 1}^{\infty}$ is called a $Q$ -expansion of $x$ if<br/>\begin{equation*}<br/>x=\sum_{i=1}…

math.DS2025

Topology of univoque sets in double-base expansions

Vilmos Komornik, Yichang Li, Yuru Zou

Given two real numbers $q_{0}, q_{1} > 1$ satisfying $q_{0} + q_{1} \geq q_{0} q_{1}$ and two real numbers $d_{0} \neq = d_{1}$ , by a {double-base expansion} of a real number $x$ we mean a sequence $(i_k)\in…

math.DS2024

Topological and dimensional properties of univoque bases in double-base expansions

Yuecai Hu, Rafael Alcaraz Barrera, Yuru Zou

Given two real numbers $q_{0}, q_{1}$ with $q_{0}, q_{1} > 1$ satisfying $q_{0} + q_{1} \geq q_{0} q_{1}$ , we call a sequence $(d_{i})$ with $d_{i} \in {0, 1}$ a $(q_{0}, q_{1})$ -expansion or a double-base expa…

math.CO2021

Expansions in multiple bases over general alphabets

Yuru Zou, Vilmos Komornik, Jian Lu

Expansions in non-integer bases have been extensively investigated since a pioneering work of Rényi. We introduce a more general framework of alphabet-base systems that also includ…