CSpace
 The Cauchy Two-Matrix Model, C-Toda Lattice and CKP Hierarchy Li, Chunxia1; Li, Shi-Hao2,3 2019-02-01 Source Publication JOURNAL OF NONLINEAR SCIENCE ISSN 0938-8974 Volume 29Issue:1Pages:3-27 Abstract This paper mainly talks about the Cauchy two-matrix model and its corresponding integrable hierarchy with the help of orthogonal polynomial theory and Toda-type equations. Starting from the symmetric reduction in Cauchy biorthogonal polynomials, we derive the Toda equation of CKP type (or the C-Toda lattice) as well as its Lax pair by introducing time flows. Then, matrix integral solutions to the C-Toda lattice are extended to give solutions to the CKP hierarchy which reveals the time-dependent partition function of the Cauchy two-matrix model is nothing but the -function of the CKP hierarchy. At last, the connection between the Cauchy two-matrix model and Bures ensemble is established from the point of view of integrable systems. Keyword Matrix models Cauchy biorthogonal polynomials C-Toda lattice CKP hierarchy tau-Function theory DOI 10.1007/s00332-018-9474-x Language 英语 Funding Project National Natural Science Foundation of China[11271266] ; National Natural Science Foundation of China[11705284] ; National Natural Science Foundation of China[11701550] ; Beijing Natural Science Foundation[1162003] WOS Research Area Mathematics ; Mechanics ; Physics WOS Subject Mathematics, Applied ; Mechanics ; Physics, Mathematical WOS ID WOS:000457991200002 Publisher SPRINGER Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/32510 Collection 中国科学院数学与系统科学研究院 Corresponding Author Li, Shi-Hao Affiliation 1.Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, LSEC, AMSS, POB 2719, Beijing 100190, Peoples R China3.Univ Chinese Acad Sci, Dept Math Sci, Beijing 100049, Peoples R China Recommended CitationGB/T 7714 Li, Chunxia,Li, Shi-Hao. The Cauchy Two-Matrix Model, C-Toda Lattice and CKP Hierarchy[J]. JOURNAL OF NONLINEAR SCIENCE,2019,29(1):3-27. APA Li, Chunxia,&Li, Shi-Hao.(2019).The Cauchy Two-Matrix Model, C-Toda Lattice and CKP Hierarchy.JOURNAL OF NONLINEAR SCIENCE,29(1),3-27. MLA Li, Chunxia,et al."The Cauchy Two-Matrix Model, C-Toda Lattice and CKP Hierarchy".JOURNAL OF NONLINEAR SCIENCE 29.1(2019):3-27.
 Files in This Item: There are no files associated with this item.
 Related Services Recommend this item Bookmark Usage statistics Export to Endnote Google Scholar Similar articles in Google Scholar [Li, Chunxia]'s Articles [Li, Shi-Hao]'s Articles Baidu academic Similar articles in Baidu academic [Li, Chunxia]'s Articles [Li, Shi-Hao]'s Articles Bing Scholar Similar articles in Bing Scholar [Li, Chunxia]'s Articles [Li, Shi-Hao]'s Articles Terms of Use No data! Social Bookmark/Share