题名 | Stable Minimality of Expanding Foliations |
作者 | |
通讯作者 | Hertz, Jana Rodriguez |
共同第一作者 | Nunez, Gabriel; Hertz, Jana Rodriguez |
发表日期 | 2021
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DOI | |
发表期刊 | |
ISSN | 1040-7294
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EISSN | 1572-9222
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卷号 | 33期号:6页码:2075-2089 |
摘要 | We prove that generically in Diff(m)(1)(M), if an expanding f-invariant foliation W of dimension u is minimal and there is a periodic point of unstable index u, the foliation is stably minimal. By this we mean there is a C-1-neighborhood U of f such that for all C-2-diffeomorphisms g is an element of U, the g-invariant continuation of W is minimal. In particular, all such g are topologically mixing. Moreover, all such g have a hyperbolic ergodic component of the volume measure m which is essentially dense. This component is, in fact, Bernoulli. We provide new examples of diffeomorphisms with stably minimal expanding foliations which are not partially hyperbolic. |
关键词 | |
相关链接 | [来源记录] |
收录类别 | |
语种 | 英语
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学校署名 | 通讯
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资助项目 | Agencia Nacional de Investigacion e Innovacion[POS_NAC_2014_1_102348]
; NSFC[11871262][11871394]
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WOS研究方向 | Mathematics
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WOS类目 | Mathematics, Applied
; Mathematics
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WOS记录号 | WOS:000562680100001
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出版者 | |
来源库 | Web of Science
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引用统计 |
被引频次[WOS]:1
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成果类型 | 期刊论文 |
条目标识符 | http://sustech.caswiz.com/handle/2SGJ60CL/186654 |
专题 | 理学院_数学系 深圳国际数学中心(杰曼诺夫数学中心)(筹) |
作者单位 | 1.Univ Republica, Fac Ingn, IMERL, Julio Herrera y Reissig 565, Montevideo 11300, Uruguay 2.Univ Catolica Uruguay, Fac Ingn & Tecnol, Dept Matemat, Comandante Braga 2715, Montevideo 11600, Uruguay 3.Southern Univ Sci & Technol China, Dept Math, 1088 Xueyuan Rd, Shenzhen 518055, Guangdong, Peoples R China 4.SUSTech Int Ctr Math, Shenzhen, Peoples R China |
通讯作者单位 | 数学系; 南方科技大学 |
推荐引用方式 GB/T 7714 |
Nunez, Gabriel,Hertz, Jana Rodriguez. Stable Minimality of Expanding Foliations[J]. Journal of Dynamics and Differential Equations,2021,33(6):2075-2089.
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APA |
Nunez, Gabriel,&Hertz, Jana Rodriguez.(2021).Stable Minimality of Expanding Foliations.Journal of Dynamics and Differential Equations,33(6),2075-2089.
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MLA |
Nunez, Gabriel,et al."Stable Minimality of Expanding Foliations".Journal of Dynamics and Differential Equations 33.6(2021):2075-2089.
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条目包含的文件 | ||||||
文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | 操作 | |
2020JDDEpublicada.pd(672KB) | -- | -- | 限制开放 | -- |
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