课题基金 / 基金详情

Bidirectional research between complex dynamics of polynomials and transcendental entire functions

Bidirectional research between complex dynamics of polynomials and transcendental entire functions
多项式复动力学与超越整函数的双向研究
批准号:
21540174
负责人:
KISAKA Masashi
金额:
$2.83万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (C)
财政年份:
2009
资助国家:
日本
项目状态:
已结题
起止时间:
2009-04-01 至 2014-03-31

项目摘要

项目成果

相关文献

中文摘要
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英文摘要
We investigated the dynamics of polynomials and transcendental entire functions both individually and bidirectionally by mainly using complex analytic methods. As a remarkable result, for a given polynomial P we constructed a transcendental entire function which has the dynamics of P as its subdynamics by quasiconformal surgery. Also as an application of this method, we constructed, for example, (1)a transcendental entire function whose Julia set is a Sierpinski carpet, (2)a transcendental entire function which has a Cremer point but whose Julia set is locally connected. These are new examples which show new phenomena which never occur for polynomial dynamics.
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会议论文
Constructions of trans- cendental entire functions whose Julia sets are Sierpinski carpet
超越整体函数的构造,其 Julia 集是谢尔宾斯基地毯
DOI: --
发表时间: 2013
期刊:
影响因子: --
作者: [田島慎一, 小原功任, 照井章, M.Kisaka]
通讯作者: M.Kisaka
Julia集合がSierpinskiカーペットとなる超越整函数の構成について
朱莉娅集为谢尔宾斯基地毯的超越整数函数的构造
DOI: --
发表时间: 2013
期刊:
影响因子: --
作者: [田島慎一, 小原功任, 照井章, M.Kisaka, 柳沢卓, 宮地秀樹, 田島慎一, M.Shishikura, 柳沢卓, 田島慎一, Hideki Miyachi, M.Kisaka, 柳沢卓, 田島慎一, 宮地秀樹, M.Kisaka, 田島慎一, 柳沢卓, 宮地秀樹, 柳沢卓, 木坂正史]
通讯作者: 木坂正史
Dynamics and renormalization
动力学和重整化
DOI: --
发表时间: 2010
期刊:
影响因子: --
作者: [宍倉光広]
通讯作者: 宍倉光広
Straightening maps
拉直地图
DOI: --
发表时间: 2010
期刊:
影响因子: --
作者: [飯塚由貴恵, 田島慎一, Kosuke Ono, 井上順子, T.Suzuki, 稲生啓行]
通讯作者: 稲生啓行
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