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The partition function of the Bures ensemble as the tau-function of BKP and DKP hierarchies: continuous and discrete

文献类型：期刊论文

作者Hu, Xing-Biao1,2; Li, Shi-Hao1,2
刊名JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
出版日期2017-07-14
卷号50期号:28页码:20
关键词Toda-type equation matrix integrals Pfaffian BKP and DKP hierarchies
ISSN号1751-8113
DOI10.1088/1751-8121/aa7395
英文摘要The relationship between matrix integrals and integrable systems was revealed more than 20 years ago. As is known, matrix integrals over a Gaussian ensemble used in random matrix theory could act as the tau-function of several hierarchies of integrable systems. In this article, we will show that the time-dependent partition function of the Bures ensemble, whose measure has many interesting geometric properties, could act as the tau-function of BKP and DKP hierarchies. In addition, if discrete time variables are introduced, then this partition function could act as the tau-function of discrete BKP and DKP hierarchies. In particular, there are some links between the partition function of the Bures ensemble and Toda-type equations.
资助项目National Natural Science Foundation of China[11331008] ; National Natural Science Foundation of China[11571358]
WOS研究方向Physics
语种英语
WOS记录号WOS:000403935600001
出版者IOP PUBLISHING LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/25834]  
专题计算数学与科学工程计算研究所
通讯作者Li, Shi-Hao
作者单位1.Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, LSEC, POB 2719, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式
GB/T 7714		 Hu, Xing-Biao,Li, Shi-Hao. The partition function of the Bures ensemble as the tau-function of BKP and DKP hierarchies: continuous and discrete[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2017,50(28):20.
APA Hu, Xing-Biao,&Li, Shi-Hao.(2017).The partition function of the Bures ensemble as the tau-function of BKP and DKP hierarchies: continuous and discrete.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,50(28),20.
MLA Hu, Xing-Biao,et al."The partition function of the Bures ensemble as the tau-function of BKP and DKP hierarchies: continuous and discrete".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 50.28(2017):20.

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来源：数学与系统科学研究院

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