The paper by Crauel and Flandoli addresses the existence of global random attractors for random dynamical systems (RDS) and the existence of invariant Markov measures supported by these attractors. The authors establish a criterion for the existence of global random attractors and prove that such attractors support Markov invariant measures. These results are applied to reaction-diffusion equations with additive white noise and Navier-Stokes equations with multiplicative and additive white noise. The paper is organized into sections covering the basic setup of RDS, attraction and absorption properties, the existence of global attractors, and the application of these results to specific infinite-dimensional systems. Key concepts include the $\Omega$-limit set, random invariant sets, absorbing sets, and global attractors. The authors also discuss the connection between attractors and flow-invariant measures, and provide detailed proofs for the existence of global attractors and Markov measures in the context of reaction-diffusion equations and Navier-Stokes equations.The paper by Crauel and Flandoli addresses the existence of global random attractors for random dynamical systems (RDS) and the existence of invariant Markov measures supported by these attractors. The authors establish a criterion for the existence of global random attractors and prove that such attractors support Markov invariant measures. These results are applied to reaction-diffusion equations with additive white noise and Navier-Stokes equations with multiplicative and additive white noise. The paper is organized into sections covering the basic setup of RDS, attraction and absorption properties, the existence of global attractors, and the application of these results to specific infinite-dimensional systems. Key concepts include the $\Omega$-limit set, random invariant sets, absorbing sets, and global attractors. The authors also discuss the connection between attractors and flow-invariant measures, and provide detailed proofs for the existence of global attractors and Markov measures in the context of reaction-diffusion equations and Navier-Stokes equations.