Min Wu

activity

20152022

most citedThe exceptional sets on the run-length function of beta-expansions

8 citations · 28 across the 18 of their papers we have counts for

collaborators

Showing 2016Show all

9 papers · 1 filter

math.DS2016

The dimension of irregular set in parameter space

Lixuan Zheng, Min Wu, Bing Li

For any real number $β > 1$ . The $n$ th cylinder of $β$ in the parameter space ${β \in R : β > 1}$ is a set of real numbers in $(1, \infty)$ having the same first $n$ digits in…

math.NT2016★ 1 cited

The denominators of convergents for continued fractions

Lulu Fang, Min Wu, Bing Li

For any real number $x \in [0, 1)$ , we denote by $q_{n} (x)$ the denominator of the $n$ -th convergent of the continued fraction expansion of $x$ $(n \in N)$ . It is well-known…

math.ST2016★ 3 cited

A note on Rényi's "record" problem and Engel's series

Lulu Fang, Min Wu

In 1973, Williams introduced two interesting discrete Markov processes, namely $C$ -processes and $A$ -processes, which are related to record times in statistics and Engel's series i…

math.PR2016★ 1 cited

Large and moderate deviation principles for Engel continued fractions

Lulu Fang, Lei Shang

Large and moderate deviation principles are proved for Engel continued fractions, a new type of continued fraction expansion with non-decreasing partial quotients in number theory.

math.DS2016

The topological property of the irregular sets on the lengths of basic intervals in beta-expansions

Lixuan Zheng, Min Wu, Bing Li

Let $β > 1$ be a real number and $(ε_{1} (x, β), ε_{2} (x, β), \dots)$ be the $β$ -expansion of a point $x \in (0, 1]$ . For all $x \in (0, 1]$ , let $A (D (x))$ be the set of accumulation poi…

math.NT2016★ 1 cited

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…