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

Md. Shafiqul Islam, Pawel Góra and Abraham Boyarsky

International Journal of Stochastic Analysis, 2005, vol. 2005, 1-9

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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:149479

DOI: 10.1155/JAMSA.2005.133

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