  We study the joint action of the non-Poisson renewal events (NPR) yielding
Continuous Time Random Walk (CTRW) with index alpha < 1 and two different
generators of Hurst coefficient H not equal to 0.5, one generating fractional
Brownian motion (FBM) and another scaled Brownian motion (SBM). We discuss the
ergodicity breaking emerging from these joint actions and we find that in both
cases the adoption of time averages leads to localization. In the case of the
joint action of NPR and SBM, localization occurs when SBM would produce
sub-diffusion. The joint action of NPR and FBM, on the contrary, may lead to
localization when FBM would be a source of super-diffusion. We argue that the
second effect might require a refinement of the theoretical perspective about
determinism and randomness.
