Invariant measures for meromorphic Misiurewicz maps
2008 ◽
Vol 145
(3)
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pp. 685-697
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Keyword(s):
AbstractWe study the existence of finite absolutely continuous invariant measures for meromorphic Misiurewicz maps whose Julia set is the whole sphere. In the rational context, these hypotheses imply that such a measure must exist. We show that it is not so for meromorphic maps unless an additional condition on the behavior of the map, which can be stated in terms of its Nevanlinna characteristic, is satisfied.
1993 ◽
Vol 03
(04)
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pp. 1045-1049
2012 ◽
Vol 33
(1)
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pp. 168-182
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1989 ◽
Vol 139
(1)
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pp. 139-151
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2012 ◽
Vol 18
(4)
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pp. 739-750
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1990 ◽
Vol 5
(2)
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pp. 65-81
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2009 ◽
Vol 29
(4)
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pp. 1185-1215
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