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Local Eigenvalue Density for General MANOVA Matrices
MANOVA random matrix Jacobi ensemble Local density of eigenvalues
2012/7/9
We consider random $n\times n$ matrices of the form $(XX*+YY*)^{-1/2}YY*(XX*+YY*)^{-1/2}$, where $X$ and $Y$ have independent entries with zero mean and variance one. These matrices are the natural ge...
Central limit theorem for partial linear eigenvalue statistics of Wigner matrices
Central limit theorem partial linear eigenvalue statistics Wigner matrices Probability
2012/6/19
In this paper, we study the complex Wigner matrices $M_n=\frac{1}{\sqrt{n}}W_n$ whose eigenvalues are typically in the interval $[-2,2]$. Let $\lambda_1\leq \lambda_2...\leq\lambda_n$ be the ordered e...
Largest Schmidt eigenvalue of entangled random pure states and conductance distribution in chaotic cavities
Largest Schmidt eigenvalue entangled random pure states conductance distribution
2010/12/15
A strategy to evaluate the distribution of the largest Schmidt eigenvalue for entangled random pure states of bipartite systems is proposed. We point out that the multiple integral defining the sought...