A generalization of Straube's theorem: existence of absolutely continuous invariant measures for random maps
2005 ◽
Vol 2005
(2)
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pp. 133-141
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Keyword(s):
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.
1990 ◽
Vol 10
(4)
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pp. 645-656
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2013 ◽
Vol 23
(02)
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pp. 1350025
1993 ◽
Vol 03
(04)
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pp. 1045-1049
1996 ◽
Vol 06
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pp. 1143-1151
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pp. 81-100
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Vol 16
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pp. 735-749
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Vol 29
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pp. 1185-1215
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pp. 301-308
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(1)
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pp. 1-18
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2008 ◽
Vol 28
(1)
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pp. 211-228
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