Periodic points and smooth rays
2021 ◽
Vol 25
(8)
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pp. 170-178
Keyword(s):
Let P : C → C P: \mathbb {C} \to \mathbb {C} be a polynomial map with disconnected filled Julia set K P K_P and let z 0 z_0 be a repelling or parabolic periodic point of P P . We show that if the connected component of K P K_P containing z 0 z_0 is non-degenerate, then z 0 z_0 is the landing point of at least one smooth external ray. The statement is optimal in the sense that all but one cycle of rays landing at z 0 z_0 may be broken.
Keyword(s):
Keyword(s):
2011 ◽
Vol 21
(11)
◽
pp. 3205-3215
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Keyword(s):
2011 ◽
Vol 55-57
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pp. 1670-1674
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2013 ◽
Vol 50
(4)
◽
pp. 509-522
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1998 ◽
Vol 21
(2)
◽
pp. 269-276
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