Lulu Fang

activity

20162022

most citedMultifractal analysis of the convergence exponent in continued fractions

3 citations · 3 across the 4 of their papers we have counts for

collaborators

7 papers

math.NT2022

Dimensions of certain sets of continued fractions with non-decreasing partial quotients

Lulu Fang, Jihua Ma, Kunkun Song +1

Let $[a_{1} (x), a_{2} (x), a_{3} (x), \dots]$ be the continued fraction expansion of $x \in (0, 1)$ . This paper is concerned with certain sets of continued fractions with non-decreasing partia…

math.DS2021

On upper and lower fast Knintchine spectra of continued fractions

Lulu Fang, Lei Shang, Min Wu

Let $ψ : N \to R^{+}$ be a function satisfying $ϕ (n) / n \to \infty$ as $n \to \infty$ . We investigate from a multifractal analysis point of view the growth rate of the s…

math.DS2020

Precise asymptotics on the Birkhoff sums for dynamical systems

Lulu Fang, Hiroki Takahasi, Yiwei Zhang

We establish two precise asymptotic results on the Birkhoff sums for dynamical systems. These results are parallel to that on the arithmetic sums of independent and identically dis…

math.NT2020

Some exceptional sets of Borel-Bernstein Theorem in continued fractions

Lulu Fang, Jihua Ma, Kunkun Song

Let $[a_{1} (x), a_{2} (x), a_{3} (x), \dots]$ denote the continued fraction expansion of a real number $x \in [0, 1)$ . This paper is concerned with certain exceptional sets of the Borel-Bern…

math.NT2019★ 3 cited

Multifractal analysis of the convergence exponent in continued fractions

Fang Lulu, Song Kunkun

Let $x \in [0, 1)$ be a real number and denote its continued fraction expansion by $[a_{1} (x), a_{2} (x), a_{3} (x), \dots]$ . The convergence exponent of these partial quotients is defined a…

math.DS2018

A note on the run length function for intermittency maps

Hongfei Cui, Lulu Fang, Yiwei Zhang

We study the run length function for intermittency maps. In particular, we show that the longest consecutive zero digits (resp. one digits) having a time window of polynomial (resp…