Kunkun Song

collaborators

3 papers

math.NT2025

Multifractal analysis of maximal product of consecutive partial quotients in continued fractions

Kunkun Song, Dingding Yu, Yueli Yu

Let $[a_{1} (x), a_{2} (x), \dots, a_{n} (x), \dots]$ be the continued fraction expansion of an irrational number $x \in (0, 1)$ . We study the growth rate of the maximal product of consecut…

math.DS2025

Multifractal analysis of the convergence exponents for the digits in $d$ -decaying Gauss like dynamical systems

Kunkun Song, Mengjie Zhang

Let ${a_{n} (x)}_{n \geq 1}$ be the sequence of digits of $x \in (0, 1)$ in infinite iterated function systems with polynomial decay of the derivative. We first study the multifractal sp…

math.NT2024

Multifractal analysis of the growth rate of digits in Schneider's $p$ -adic continued fraction dynamical system

Kunkun Song, Wanlou Wu, Yueli Yu +1

Let $Z_{p}$ be the ring of $p$ -adic integers and $a_{n} (x)$ be the $n$ -th digit of Schneider's $p$ -adic continued fraction of $x \in p Z_{p}$ . We study the growth rate of…

Multifractal analysis of maximal product of consecutive partial quotients in continued fractions

Multifractal analysis of the convergence exponents for the digits in d-decaying Gauss like dynamical systems

Multifractal analysis of the growth rate of digits in Schneider's p-adic continued fraction dynamical system

Multifractal analysis of the convergence exponents for the digits in $d$ -decaying Gauss like dynamical systems

Multifractal analysis of the growth rate of digits in Schneider's $p$ -adic continued fraction dynamical system