Position dependent random maps in one and higher dimensions
Volume 166 / 2005
Studia Mathematica 166 (2005), 271-286
MSC: Primary 37A05, 37E05.
DOI: 10.4064/sm166-3-5
Abstract
A random map is a discrete-time dynamical system in which one of a number of transformations is randomly selected and applied on each iteration of the process. We study random maps with position dependent probabilities on the interval and on a bounded domain of ${\mathbb R}^n$. Sufficient conditions for the existence of an absolutely continuous invariant measure for a random map with position dependent probabilities on the interval and on a bounded domain of ${\mathbb R}^n$ are the main results.
