Fractal random variables defined by probability distributions of digits of their $G_2$-representation having two bases with different signs

M. Pratsiovytyi, O. Baranovskyi, I. Lysenko +1

In this paper, we study distributions of two random variables \begin{gather*} τ= τ_1 g_{1-τ_1} + \sum_{k=2}^\infty τ_k g_{1-τ_k} \prod_{i=1}^{k-1} g_{τ_i} \equiv Δ^{G_2}_{τ_1τ_2...…