The fluctuation dissipation theorem relates the linear response of a system to Gaussian fluctuations. The natural question that comes to my mind is the possible derivation of an analogous FDT in presence of non-Gaussian noise. I would like to know if such an attempt has already been made with links to relevant literature. If not, then what are the difficulties (conceptual or technical) towards such a derivation?
You might be interested in the nonlinear fluctuation dissipation theorem. Here are some sources:
EDIT: Here are some possibly more relevant references for you on a linear system driven by non-Gaussian noise: