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

DOI: 10.1155/jamsa.2005.133

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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.


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