During recent years there has been growing interest in random dynamical systems, in particular-random conformal dynamics. I will start with quick introduction about real one-dimensional dynamics, and then pass to conformal random dynamical systems. Necessary basic concepts of conformal dynamics will be explained. The subjects will include:

- random circle homeomorphisms- a short introduction to the subject
- random measures in Polish spaces
- random iterations of polynomials, connectedness of the random Julia set, harmonic measure on the random Julia set
- random conformal repellers; dimension of random conformal repellers; dependence on parameters
- random transcendental functions- a short outline