Zhu, Yu Jun, Two notes on measure-theoretic entropy of random dynamical systems, Acta mathematica Sinica. English series (Print) , 25(6), 2009, pp. 961-970
In this paper, Brin-Katok local entropy formula and Katok.s definition of the measure-theoretic entropy using spanning set are established for the random dynamical system over an invertible ergodic system.