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ABSTRACT: Hybrid: https://visgat.kimsh.kr In this talk, we will discuss about smooth random dynamical systems and group actions on surfaces. Random dynamical systems, especially understanding stationary measures, can play an important role when we consider a group action. For instance, when a group action on torus is given by toral automorphisms, using random dynamics, Benoist-Quint classified all orbit closures. In this talk, we will study on non-linear actions on surfaces using random dynamics. We will discuss about absolutely continuity of stationary measures, classification of orbit closure, and exact dimensionality of stationary measures. This talk will be mostly about the joint work with Aaron Brown, Davi Obata, and Yuping Ruan.