MAXIMUM ENTROPY METHOD FOR POSITION DEPENDENT RANDOM MAPS
2011 ◽
Vol 21
(06)
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pp. 1805-1811
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Keyword(s):
Let {τ1, τ2,…,τK} be a collection of nonsingular maps on [0, 1] into [0, 1] and {p1, p2,…,pK} be a collection of position dependent probabilities on [0, 1]. We consider position dependent random maps T = {τ1,τ2,…,τK;p1,p2,…,pK} such that T preserves an absolutely continuous invariant measure with density f*. A maximum entropy method for approximating f* is developed. We present a proof of convergence of the maximum entropy method for random maps.
2013 ◽
Vol 23
(02)
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pp. 1350025
2012 ◽
Vol 396
(1)
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pp. 1-6
1993 ◽
Vol 03
(04)
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pp. 1045-1049
1996 ◽
Vol 06
(06)
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pp. 1143-1151
2012 ◽
Vol 33
(2)
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pp. 529-548
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1996 ◽
Vol 16
(4)
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pp. 735-749
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2009 ◽
Vol 29
(4)
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pp. 1185-1215
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