PARABOLIC RATIONAL MAPS
2001 ◽
Vol 63
(3)
◽
pp. 673-689
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Keyword(s):
The paper studies the dynamics of rational maps with indifferent parabolic points by comparing their dynamical properties with those of their ‘jump transformation’ which is uniformly expanding on a non-compact set with infinite Markov partition. It establishes the spectral properties of a two-variables operator-valued function associated to the jump transformation and exploits their dynamical relevance to allow the analytic properties of the pressure, the escape rate from a neighbourhood of the Julia set and the asymptotic distribution of pre-images to be studied.
2016 ◽
Vol 37
(6)
◽
pp. 1997-2016
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Keyword(s):
2014 ◽
Vol 35
(7)
◽
pp. 2171-2197
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Keyword(s):
2011 ◽
Vol 32
(5)
◽
pp. 1711-1726
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2013 ◽
Vol 23
(05)
◽
pp. 1350083
◽
1997 ◽
Vol 17
(2)
◽
pp. 253-267
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Keyword(s):
1992 ◽
Vol 12
(1)
◽
pp. 53-66
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Keyword(s):