Metrical theory of power-2-decaying Gauss-like expansion

Zhihui Li, Xin Liao, Dingding Yu

Each $x\in (0,1]$ can be uniquely expanded as a power-2-decaying Gauss-like expansion, in the form of \begin{equation*} x=\sum_{i=1}^{\infty}2^{-(d_1(x)+d_2(x)+\cdots+d_i(x))},\qqu…