Biorthogonal ensembles with two-particle interactions

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چکیده

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A note on biorthogonal ensembles

Abstract. We consider ensembles of random matrices, known as biorthogonal ensembles, whose eigenvalue probability density function can be written as a product of two determinants. These systems are closely related to multiple orthogonal functions. It is known that the eigenvalue correlation functions of such ensembles can be written as a determinant of a kernel function. We show that the kernel...

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ژورنال

عنوان ژورنال: Nonlinearity

سال: 2014

ISSN: 0951-7715,1361-6544

DOI: 10.1088/0951-7715/27/10/2419