ON HAUSDORFF MEASURES AND SBR MEASURES FOR PARABOLIC RATIONAL MAPS
1999 ◽
Vol 09
(09)
◽
pp. 1763-1769
Keyword(s):
If J is the Julia set of a parabolic rational map having Hausdorff dimension h<1, we show that Sullivan's h-conformal measure on J is either absolutely continuous or orthogonal with respect to the Hausdorff measures defined by the function [Formula: see text], according to whether τ>τ0 or τ<τ0 for some explicitly computable τ0>0.
1992 ◽
Vol 12
(1)
◽
pp. 53-66
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Keyword(s):
1997 ◽
Vol 17
(2)
◽
pp. 253-267
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Keyword(s):
2000 ◽
Vol 128
(1)
◽
pp. 141-156
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Keyword(s):
2011 ◽
Vol 32
(5)
◽
pp. 1711-1726
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Keyword(s):
1993 ◽
Vol 13
(1)
◽
pp. 167-174
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Keyword(s):
Keyword(s):