Thin tails of fixed points of the nonhomogeneous smoothing transform

Gerold Alsmeyer, Piotr Dyszewski

For a given random sequence $(C,T_1,T_2,\dots )$ with nonzero $C$ and a.s. finite number of nonzero $T_k$, the nonhomogeneous smoothing transform $\mathcal{S}$ maps the law o…