 However it is known that many such conditional distributions P over a state space X cannot be implemented using  master equation dynamics over just the states in X.
<meaning-changed>  However it is known that many such conditional distributions P over a state space X cannot be implemented using  master equation dynamics over just the states in X.
 However it is known that many such conditional distributions P over a state space X cannot be implemented using any time-inhomogeneous master equation dynamics over just the states in X.