Parabolic implosion for endomorphisms of C2

被引：3

作者：

Bianchi, Fabrizio ^{[1
,2
]}

机构：

[1] Imperial Coll, South Kensington Campus, London SW7 2AZ, England

[2] Univ Lille, CNRS, UMR 8524, Lab Paul Painleve, F-59000 Lille, France

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2019年 / 21卷 / 12期

关键词：

Holomorphic dynamics; maps tangent to the identity; parabolic implosion;

D O I：

10.4171/JEMS/911

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give an estimate of the discontinuity of the large Julia set for a perturbation of a class of maps tangent to the identity, by means of a two-dimensional Lavaurs theorem. We adapt to our situation a strategy due to Bedford, Smillie and Ueda in the semiattracting setting. We also prove the discontinuity of the filled Julia set for such perturbations of regular polynomials.

引用

页码：3709 / 3737

页数：29

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