  We show that the direct product of maps with Young towers admits a Young
tower whose return times decay at a rate which is bounded above by the slowest
of the rates of decay of the return times of the component maps. An application
of this result, together with other results in the literature, yields various
statistical properties for the direct product of various classes of systems,
including Lorenz-like maps, multimodal maps, piecewise $ C^2 $ interval maps
with critical points and singularities, H\'enon maps and partially hyperbolic
systems.
