Dynamical response functions in models of vibrated granular media

In recently introduced schematic lattice gas models for vibrated dry granul ar media, we study the dynamical response of the system to small perturbati ons of shaking amplitudes and its relations with the characteristic fluctua tions. Strong off equilibrium features, as negative responses, appear and a generalized version of the fluctuation dissipation theorem is introduced. The relations with thermal glassy systems and the role of Edwards' compacti vity are discussed.