Arithmetic properties of multiplicative integer-valued perturbed random walks

Victor Bohdanskyi, Vladyslav Bohun, Alexander Marynych +1

Let $({\xi }_1,{\eta }_1)$, $({\xi }_2,{\eta }_2),\dots$ be independent identically distributed ${\mathbb{N}}^2$-valued random vectors with arbitrarily dependent components. The sequence $(Θ_k)_{k\in\m…