Bing Li

collaborators

2 papers

math.NT2016

Beta-expansion and continued fraction expansion of real numbers

Lulu Fang, Min Wu, Bing Li

Let $β > 1$ be a real number and $x \in [0, 1)$ be an irrational number. We denote by $k_{n} (x)$ the exact number of partial quotients in the continued fraction expansion of $x$ given…

math.DS2013

Diophantine approximation of the orbit of 1 in the dynamical system of bete expansions

Bing Li, Tomas Persson, Baowei Wang +1

We consider the distribution of the orbits of the number 1 under the $β$ -transformations $T_{β}$ as $β$ varies. Mainly, the size of the set of $β > 1$ for which a given point can be we…