Discrete Invariant Curve Flows, Orthogonal Polynomials, and Moving Frame

doi:10.1093/imrn/rnz379

	Discrete Invariant Curve Flows, Orthogonal Polynomials, and Moving Frame
	Wang, Bao 1,3,4; Chang, Xiang-Ke 3,4; Hu, Xing-Biao 3,4; Li, Shi-Hao 2,3,4
刊名	INTERNATIONAL MATHEMATICS RESEARCH NOTICES
	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
出版者	OXFORD UNIV PRESS
WOS记录号	WOS:000731071200019
内容类型	期刊论文
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.Brock Univ, Dept Math & Stat, St Catharines, ON L2S 3A1, Canada 2.Univ Melbourne, Sch Math & Stat, Melbourne, Vic 3010, Australia 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, POB 2719, Beijing 100190, Peoples R China
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.