Markov processes driven by quasi-periodic deterministic forces

Abstract. Quasi-periodically driven Markovian systems are rendered stationary by enlarg-ing the state space. The eigenvalues and eigenvectors of the master operator of the enlarged process are considered for very slow driving forces in the adiabatic limit. This limit has to be performed always in the minimally enlarged state space and, for two driving frequencies in general leads to results that discontinuously depend on the frequency ratio