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Semrl, Matrix spaces with a bounded number of eigenvalues, Linear Algebra Appl. Serezkin, Linear transformations preserving nilpotency (in Russian),
Shi on the asymptotic behavior of the survival probability of the branching random walk killed below a linear boundary, in the special case of deterministic binary branching and
Key words: Random matrices, eigenvalues, Laguerre ensemble, Wishart ensemble, bulk scaling limit.. AMS 2000 Subject Classification: Primary 60B20; Secondary:
Keywords: Random Matrices, Block-Matrices, Limiting Spectral Measure, Circulant Block- Matrix, Semicircular Noncommutative Random
In this article we consider the sample covariance matrix formed from a sequence of indepen- dent and identically distributed random vectors from the generalized domain of attraction
Except for the Toeplitz and Hankel matrices, the common patterned matrices for which the limiting spectral distribution (LSD) are known to exist share a common property–the number
Various results for the global regime were established (Wigner semicircle law (22), large deviations for the spectral measure (5)...); the statistics of the spacings between
We first study the probabilistic properties of the spectral norm of scaled eigenvalues of large di- mensional Toeplitz, circulant and symmetric circulant matrices when the