Random walks derived from billiards
Abstract. We introduce a class of random dynamical systems derived from billiard maps, which we call ``random billiards," and study certain random walks on the line obtained from them. The interplay between the billiard geometry and the stochastic properties of the random billiard is investigated. Our main results are concerned with the description of the spectrum of the random billiard's Markov operator and the characteristics of diffusion limits under appropriate scaling.