73 citations · 91 across the 8 of their papers we have counts for
6 papers · 1 filter
Unique double base expansions
Vilmos Komornik, Wolfgang Steiner, Yuru Zou
For two real bases , we consider expansions of real numbers of the form with , which we call…
Metric results for numbers with multiple -expansions
Simon Baker, Yuru Zou
Let be a positive integer and . A -expansion of a real number is a sequence with such that $x=\sum_{i=1}^{…
Univoque graphs and multiple expansions
Yuru Zou, Jian Lu, Vilmos Komornik
Unique expansions in non-integer bases have been investigated in many papers during the last thirty years. They are often conveniently generated by labeled directed graphs. In…
Smallest bases of expansions with multiple digits
Derong Kong, Wenxia Li, Yuru Zou
Given two positive integers and , let $\B_k$ be the set of bases such that there exists a real number having exactly different -expansions over the alphabet…
On a problem of countable expansions
Yuru Zou, Derong Kong
For a real number and , the infinite sequence is called a \emph{-expansion} of if $$ x=\sum_{i=1}^\infty\frac{d_i}{q^i},\quad d_i\in\{0,…
On small bases for which has countably many expansions
Yuru Zou, Lijin Wang, Jian Lu +1
Let . A -expansion of a number in is a sequence satisfying $$ x=\sum_{i=1}^\infty\frac{δ_i}{q^i}.$…