Before revision:  In  [ 14 ] and [ 15 ] the authors showed  with the help of a multi-scale anal- ysis that stochastic systems with infinite and finite degrees of freedom can be approximated by dynamical systems whose leading order time evolution is given by a combination of ordi- nary differential equations and Markov chains.
After revision:  In [ 14 ] and [ 15 ] the authors showed with the help of a multi-scale anal- ysis that stochastic systems with both continuous variables and finite state spaces can be approximated by dynamical systems whose leading order time evolution is given by a combination of ordi- nary differential equations and Markov chains.