On Julia sets of postcritically finite branched coverings Part II ―S~1-parametrization of Julia sets

Atsushi KAMEYAMA

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On Julia sets of postcritically finite branched coverings Part II ―S~1-parametrization of Julia sets

机译：关于临界后分支覆盖的Julia集第二部分― Julia集的S〜1参数化

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摘要

We prove that for an expanding postcritically finite branched covering f, the Julia set is orientedly S~1-parametrizable if and only if f~n is combinatorially equivalent to the degenerate mating of two polynomials for some n > 0.

机译：我们证明了对于扩展的临界后有限分支覆盖f，当且仅当f〜n组合等效于两个多项式的简并匹配且n> 0时，Julia集才可定向为S〜1-参数。

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来源
《Journal of the Mathematical Society of Japan》 |2003年第2期|p.455-468|共14页
作者
Atsushi KAMEYAMA;
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作者单位

Dpartment fo Informatics and Mathematical Science Graduate School fo Engineering Science Osaka University Machikaneyama-cho 1-3 Toyonaka, Osaka 560-8531 Japan;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
julia set; postcritically finite branched covering; S~1-parametrization; thurston equivalence; mating;

机译：朱莉娅集后临界有限分支覆盖;S〜1-参数化;瑟斯顿等值;交配;

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On Julia sets of postcritically finite branched coverings Part II ―S~1-parametrization of Julia sets

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