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

Kunkun Song, Mengjie Zhang

Let $\{a_n(x){\}}_{n\ge 1}$ 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…