Dynamics of sub-hyperbolic and semi-hyperbolic rational semigroups and skew products
2001 ◽
Vol 21
(2)
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pp. 563-603
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Keyword(s):
We consider dynamics of sub-hyperbolic and semi-hyperbolic semigroups of rational functions on the Riemann sphere and will show some no wandering domain theorems. The Julia set of a rational semigroup in general may have non-empty interior points. We give a sufficient condition that the Julia set has no interior points. From some information about forward and backward dynamics of the semigroup, we consider when the area of the Julia set is equal to zero or an upper estimate of the Hausdorff dimension of the Julia set.
1994 ◽
Vol 14
(2)
◽
pp. 391-414
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2002 ◽
Vol 65
(02)
◽
pp. 453-463
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1996 ◽
Vol 16
(2)
◽
pp. 255-266
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1997 ◽
Vol 17
(1)
◽
pp. 205-210
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2020 ◽
Vol 55
(4)
◽
pp. 391-405
1976 ◽
Vol 28
(1)
◽
pp. 112-115
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Keyword(s):
1978 ◽
Vol 26
(1)
◽
pp. 31-45
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