### For REFEREES

 Volume 9, Number 6, 2019, Pages 2333-2357 Pullback attractors and invariant measures for the discrete Zakharov equations Zeqi Zhu,Yanmiao Sang,Caidi Zhao Keywords:Invariant measure, pullback attractor, discrete Zakharov equations. Abstract: This article studies the probability distributions of solutions in the phase space for the discrete Zakharov equations. The authors first prove that the generated process of the solutions operators possesses a pullback-${\mathcal D}$ attractor, and then they establish that there exists a unique family of invariant Borel probability measures supported by the pullback attractor. PDF      Download reader