%0 Journal Article
%T A generalization of Straube's theorem: existence of absolutely continuous invariant measures for random maps
%A Md. Shafiqul Islam
%A Pawel G¨®ra
%A Abraham Boyarsky
%J International Journal of Stochastic Analysis
%D 2005
%I Hindawi Publishing Corporation
%R 10.1155/jamsa.2005.133
%X A random map is a discrete-time dynamical system in which one of a number of transformations is randomly selected and applied at each iteration of the process. In this paper, we study random maps. The main result provides a necessary and sufficient condition for the existence of absolutely continuous invariant measure for a random map with constant probabilities and position-dependent probabilities.
%U http://www.hindawi.com/journals/ijsa/2005/149479/abs/