Dynamics of regular polynomial endomorphisms of Ck

Dynamics of regular polynomial endomorphisms of Ck
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Ck 正则多项式自同态的动力学

DOI:
10.1353/ajm.2000.0001
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发表时间:
2000
影响因子:
1.7
通讯作者:
Mattias Jonsson
Mattias Jonsson
中科院分区:
数学1区
文献类型:
--
作者:
E. Bedford;Mattias Jonsson

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复欧几里得空间的正则多项式自映射具有到无穷远超平面的连续延伸。无穷远诱导映射用于描述无穷远邻域中自映射的动力学。外部射线理论的发展是为了提供无穷远处的行为与有限平面上的行为之间的联系。
A regular polynomial self-mapping of complex Euclidean space has a continuous extension to the hyperplane at infinity. The induced mapping at infinity is used to describe the dynamics of the self-mapping in a neighborhood of infinity. A theory of external rays is developed to provide the connection between the behavior at infinity and the behavior on the finite plane.