All Title Author
Keywords Abstract


A generalization of Straube's theorem: existence of absolutely continuous invariant measures for random maps

DOI: 10.1155/jamsa.2005.133

Full-Text   Cite this paper   Add to My Lib

Abstract:

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.

Full-Text

comments powered by Disqus