Parabolic iterated function systems
2000 ◽
Vol 20
(5)
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pp. 1423-1447
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Keyword(s):
In this paper we introduce and explore conformal parabolic iterated function systems. We define and study topological pressure, Perron–Frobenius-type operators, semiconformal and conformal measures and the Hausdorff dimension of the limit set. With every parabolic system we associate an infinite hyperbolic conformal iterated function system and we employ it to study geometric and dynamical features (properly defined invariant measures for example) of the limit set.
2001 ◽
Vol 63
(3)
◽
pp. 721-734
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2009 ◽
Vol 147
(2)
◽
pp. 455-488
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2011 ◽
Vol 139
(08)
◽
pp. 2767-2767
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2002 ◽
Vol 181
(2)
◽
pp. 223-237
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Keyword(s):
2014 ◽
Vol 36
(3)
◽
pp. 890-907
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1994 ◽
Vol 37
(3)
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pp. 315-329
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