  We study the response to perturbation of non-Poisson dichotomous fluctuations
that generate super-diffusion. We adopt the Liouville perspective and with it a
quantum-like approach based on splitting the density distribution into a
symmetric and an anti-symmetric component. To accomodate the equilibrium
condition behind the stationary correlation function, we study the time
evolution of the anti-symmetric component, while keeping the symmetric
component at equilibrium. For any realistic form of the perturbed distribution
density we expect a breakdown of the Onsager principle, namely, of the property
that the subsequent regression of the perturbation to equilibrium is identical
to the corresponding equilibrium correlation function. We find the directions
to follow for the calculation of higher-order correlation functions, an
unsettled problem, which has been addressed in the past by means of
approximations yielding quite different physical effects.
