ON THE THEORY OF KM_2O-LANGEVIN EQUATIONS FOR STATIONARY FLOWS(1): CHARACTERIZATION THEOREM

摘要

In this paper, we introduce a notion of stationarity for the pair of flows in a metric vector space and characterize it in such a way that there exist two relations, called a dissipation-dissipation theorem and a fluctuation-dissipation theorem, among the KM_2O-Langevin matrix associated with the pair of flows.