  Long-range correlations between multiplicities in different rapidity windows
in hadron-nucleus collisions are analyzed. After recalling the standard results
in the probabilistic model, we study them in the framework of perturbative QCD.
Considering interacting BFKL pomerons in the form of fan diagrams coupled to a
dilute projectile, analytic estimates are done for very large rapidities. The
correlation strength results weakly depending on energy and centrality or
nuclear size, and generically greater than unity. Finally, we turn to the Color
Glass Condensate framework. For a saturated projectile and considering the most
feasible experimental situation of forward and backward rapidity windows
symmetric around the center-of-mass, the resulting correlation strength turns
out to be larger than unity and shows a non-monotonic behavior with increasing
energy, first increasing and then decreasing to a limiting value. Its behavior
with increasing centrality or nuclear size depends on the considered rapidity
windows.
