On the Outlying Eigenvalues of a Polynomial in Large Independent Random Matrices
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DOI: 10.1093/imrn/rnz080
Abstract: Given a selfadjoint polynomial $P(X,Y)$ in two noncommuting selfadjoint indeterminates, we investigate the asymptotic eigenvalue behavior of the random matrix $P(A_N,B_N)$, where $A_N$ and $B_N$ are independent Hermitian random matrices and the distribution of $B_N$… read more here.
Keywords: random matrices; outlying eigenvalues; eigenvalues polynomial; almost surely ... See more keywords