Before revision:  In this paper, we establish an \Omega(H^2 S/d_m\epsilon^2) lower bound (over model-based family) for the global uniform OPE, where d_m is the minimal state-action distribution induced by the behavior policy.
After revision:  In this paper, we establish an \Omega(H^2 S/d_m\epsilon^2) lower bound (over model-based family) for the global uniform OPE, where d_m is the minimal state-action probability induced by the behavior policy.