Tomoyuki Shirai — A Factorization of Determinant Related to Some Random Matrices
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Название: A Factorization of Determinant Related to Some Random Matrices
Автор: Tomoyuki Shirai
Аннотация:
We consider the expectation of the determinant det(L — X)^-1 for ImA>0 associated with some random NxN matrices and factorize it into N Stieltjes transforms of probability measures. Moreover, using this factorization, we
investigate the limiting behavior of the logarithm of the quantity as N->inf.
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