کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10727555 | 1037636 | 2005 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Schur function expansion for normal matrix model and associated discrete matrix models
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موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Schur function expansion for normal matrix model and associated discrete matrix models Schur function expansion for normal matrix model and associated discrete matrix models](/preview/png/10727555.png)
چکیده انگلیسی
We consider Schur function expansion for the partition function of the model of normal matrices. This expansion coincides with Takasaki's expansion for tau functions of Toda lattice hierarchy. We show that the partition function of the model of normal matrices is, at the same time, a partition function of certain discrete models, which can be solved by the method of orthogonal polynomials. We obtain discrete versions of various known matrix models: models of non-negative matrices, unitary matrices, normal matrices. We also introduce Hermitian and unitary two-matrix models with generalized interaction terms in continuous and discrete versions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 343, Issue 5, 15 August 2005, Pages 384-396
Journal: Physics Letters A - Volume 343, Issue 5, 15 August 2005, Pages 384-396
نویسندگان
A.Yu. Orlov, T. Shiota,