  This paper is about statistical properties of quasistatic dynamical systems.
These are a class of non-stationary systems that model situations where the
dynamics change very slowly over time due to external influence. We focus on
the case where the time-evolution is described by intermittent interval maps
(Pomeau-Manneville maps) with time-dependent parameters. In a suitable range of
parameters, we obtain a description of the statistical properties as a
stochastic diffusion, by solving a well-posed martingale problem. The results
extend those of a related recent study due to Dobbs and Stenlund, which
concerned the case of quasistatic (uniformly) expanding systems.
