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