The Cauchy Two-Matrix Model, C-Toda Lattice and CKP Hierarchy
文献类型：期刊论文
| 作者 | Li, Chunxia1; Li, Shi-Hao2,3 |
| 刊名 | JOURNAL OF NONLINEAR SCIENCE
 |
| 出版日期 | 2019-02-01 |
| 卷号 | 29期号:1页码:3-27 |
| 关键词 | Matrix models Cauchy biorthogonal polynomials C-Toda lattice CKP hierarchy tau-Function theory |
| ISSN号 | 0938-8974 |
| DOI | 10.1007/s00332-018-9474-x |
| 英文摘要 | 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. |
| 资助项目 | 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研究方向 | Mathematics ; Mechanics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000457991200002 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/32509]  |
| 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.Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, LSEC, AMSS, POB 2719, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Dept Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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