  The Slicer Map is a one-dimensional non-chaotic dynamical system that shows
sub-, super-, and normal diffusion as a function of its control parameter. In a
recent paper [Salari et al., CHAOS 25, 073113 (2015)] it was found that the
moments of the position distributions as the Slicer Map have the same
asymptotic behaviour as the L\'evy-Lorentz gas, a random walk on the line in
which the scatterers are randomly distributed according to a L\'evy-stable
probability distribution. Here we derive analytic expressions for the
position-position correlations of the Slicer Map and, on the ground of this
result, we formulate some conjectures about the asymptotic behaviour of
position-position correlations of the L\'evy-Lorentz gas, for which the
information in the literature is minimal. The numerically estimated
position-position correlations of the L\'evy-Lorentz show a remarkable
agreement with the conjectured asymptotic scaling.
