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Parabolic and near-parabolic renormaliza...
Yang, Fei...

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Parabolic and near-parabolic renormalizations for local degree three by Yang, Fei ( Author )
Lemonjar Open Access
N.A
30-09-2015
The invariant class under parabolic and near-parabolic renormalizations constructed by Inou and Shishikura has been proved extremely useful in recent years. It leads to several important progresses on the dynamics of certain holomorphic maps with a local degree two. In this paper, we construct a new class consisting of holomorphic maps with local degree three which is invariant under the parabolic renormalization. As potential applications, some results of cubic unicritical polynomials can be obtained similarly as in the quadratic case. For example, the existence of cubic unicritical Julia sets with positive area, the characterizations of the topology and geometry of cubic irrationally indifferent attractors etc.
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English
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MYR 0.00
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http://arxiv.org/abs/1510.00043
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