| 题名 | Maximal Transverse Measures of Expanding Foliations |
| 作者 | |
| 通讯作者 | Viana，Marcelo |
| 发表日期 | 2024-05-01
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| DOI | |
| 发表期刊 | |
| ISSN | 0010-3616
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| EISSN | 1432-0916
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| 卷号 | 405期号:5 |
| 摘要 | For an expanding (unstable) foliation of a diffeomorphism, we use a natural dynamical averaging to construct transverse measures, which we call maximal, describing the statistics of how the iterates of a given leaf intersect the cross-sections to the foliation. For a suitable class of diffeomorphisms, we prove that this averaging converges, even exponentially fast, and the limit measures have finite ergodic decompositions. These results are obtained through relating the maximal transverse measures to the maximal u-entropy measures of the diffeomorphism (see [UVYY]). |
| 相关链接 | [Scopus记录] |
| 收录类别 | |
| 语种 | 英语
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| 学校署名 | 第一
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| ESI学科分类 | PHYSICS
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| Scopus记录号 | 2-s2.0-85192183601
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| 来源库 | Scopus
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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/761164 |
| 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.Department of Mathematics,Southern University of Science and Technology,Shenzhen,Guangdong,China 2.SUSTech International Center for Mathematics,Shenzhen,Guangdong,China 3.IMPA,Rio de Janeiro,Est. D. Castorina 110,22460-320,Brazil 4.Department of Mathematics,Wake Forest University,Winston-Salem,United States 5.Departamento de Geometria,Instituto de Matemática e Estatística,Universidade Federal Fluminense,Niterói,Brazil |
| 第一作者单位 | 数学系; 深圳国际数学中心（杰曼诺夫数学中心）（筹） |
| 第一作者的第一单位 | 数学系 |
| 推荐引用方式 GB/T 7714 |
Ures，Raul,Viana，Marcelo,Yang，Fan,et al. Maximal Transverse Measures of Expanding Foliations[J]. Communications in Mathematical Physics,2024,405(5).
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| APA |
Ures，Raul,Viana，Marcelo,Yang，Fan,&Yang，Jiagang.(2024).Maximal Transverse Measures of Expanding Foliations.Communications in Mathematical Physics,405(5).
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| MLA |
Ures，Raul,et al."Maximal Transverse Measures of Expanding Foliations".Communications in Mathematical Physics 405.5(2024).
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| 条目包含的文件 | 条目无相关文件。 | |||||
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