Discrete Invariant Curve Flows, Orthogonal Polynomials, and Moving Frame
文献类型：期刊论文
| 作者 | Wang, Bao1,2,3; Chang, Xiang-Ke1,2; Hu, Xing-Biao1,2; Li, Shi-Hao1,2,4 |
| 刊名 | INTERNATIONAL MATHEMATICS RESEARCH NOTICES
 |
| 出版日期 | 2021-07-01 |
| 卷号 | 2021期号:14页码:11050-11092 |
| ISSN号 | 1073-7928 |
| DOI | 10.1093/imrn/rnz379 |
| 英文摘要 | In this paper, an orthogonal polynomials-based (OPs-based) approach to generate discrete moving frames and invariants is developed. It is shown that OPs can provide explicit expressions for the discrete moving frame as well as the associated difference invariants, and this approach enables one to obtain the corresponding discrete invariant curve flows simultaneously. Several examples in the cases of centro-affine plane, pseudo-Euclidean plane, and high-dimensional centro-affine space are presented. |
| 资助项目 | National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[11731014] ; National Natural Science Foundation of China[11701550] ; National Natural Science Foundation of China[11931017] ; National Natural Science Foundation of China[11871336] ; Youth Innovation Promotion Association CAS ; ARC Centre of Excellence for Mathematical and Statistical frontiers (ACEMS) |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000731071200019 |
| 出版者 | OXFORD UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59760]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, Shi-Hao |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, POB 2719, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Brock Univ, Dept Math & Stat, St Catharines, ON L2S 3A1, Canada 4.Univ Melbourne, Sch Math & Stat, Melbourne, Vic 3010, Australia |
| 推荐引用方式 GB/T 7714 | Wang, Bao,Chang, Xiang-Ke,Hu, Xing-Biao,et al. Discrete Invariant Curve Flows, Orthogonal Polynomials, and Moving Frame[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES,2021,2021(14):11050-11092. |
| APA | Wang, Bao,Chang, Xiang-Ke,Hu, Xing-Biao,&Li, Shi-Hao.(2021).Discrete Invariant Curve Flows, Orthogonal Polynomials, and Moving Frame.INTERNATIONAL MATHEMATICS RESEARCH NOTICES,2021(14),11050-11092. |
| MLA | Wang, Bao,et al."Discrete Invariant Curve Flows, Orthogonal Polynomials, and Moving Frame".INTERNATIONAL MATHEMATICS RESEARCH NOTICES 2021.14(2021):11050-11092. |
入库方式： OAI收割
来源：数学与系统科学研究院
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