Kunkun Song

activity

20162022

most citedA remark on the extreme value theory for continued fractions

4 citations · 9 across the 5 of their papers we have counts for

collaborators

5 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.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.FA2018★ 2 cited

Fourier decay rate of coin-tossing type measures

Xiang Gao, Jihua Ma, Kunkun Song +1

The Fourier decay rate of a coin-tossing type measure is investigated. Explicit estimation is given. Our method relies upon a classical result of Hartman and Kershner. As an applic…

math.NT2016★ 4 cited

A remark on the extreme value theory for continued fractions

Lulu Fang, Kunkun Song

Let $x$ be a irrational number in the unit interval and denote by its continued fraction expansion $[a_{1} (x), a_{2} (x), \dots, a_{n} (x), \dots]$ . For any $n \geq 1$ , write $T_n(x) = \…