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The techniques employed in this paper are also applicable to Toeplitz matrices generated by rational symbols b and to the condition numbers associated with l.. p
This paper concentrates on developing a method of getting sharper bounds for the spectral radius of a nonnegative irreducible matrix, utilizing the concept of Perron complement..
Still in the Gaussian case, [13] derived upper bounds of large deviations type for the spectral measure of band matrices, including certain sample covariance matrices.. Her
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 prove under weaker assumptions that the limit spectral distribution of sum and product of non- hermitian random matrices is universal.. As a byproduct, we show that the
Abstract. Following the investigation by U. Thorbjørnsen, we present a simple differential approach to the limit theorems for empirical spectral distributions of complex random
CENTRAL LIMIT THEOREMS FOR THE PRODUCTS OF RANDOM MATRICES SAMPLED BY A RANDOM WALK.. FR´ ED´ ERIQUE DUHEILLE-BIENVEN
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
