Absolutely continuous invariant measures for non-uniformly expanding maps
2009 ◽
Vol 29
(4)
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pp. 1185-1215
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Keyword(s):
AbstractFor a large class of non-uniformly expanding maps of ℝm, with indifferent fixed points and unbounded distortion and that are non-necessarily Markovian, we construct an absolutely continuous invariant measure. We extend previously used techniques for expanding maps on quasi-Hölder spaces to our case. We give general conditions and provide examples to which our results apply.
2008 ◽
Vol 28
(1)
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pp. 211-228
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1990 ◽
Vol 10
(4)
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pp. 645-656
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1993 ◽
Vol 03
(04)
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pp. 1045-1049
1996 ◽
Vol 06
(06)
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pp. 1143-1151
1996 ◽
Vol 16
(4)
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pp. 735-749
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1996 ◽
Vol 16
(1)
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pp. 1-18
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1996 ◽
Vol 16
(3)
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pp. 531-543
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2012 ◽
Vol 396
(1)
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pp. 1-6