On the global fluctuations of block Gaussian matrices
Sign Up to like & getrecommendations! Published in 2019 at "Probability Theory and Related Fields"
DOI: 10.1007/s00440-019-00925-1
Abstract: In this paper we study the global fluctuations of block Gaussian matrices within the framework of second-order free probability theory. In order to compute the second-order Cauchy transform of these matrices, we introduce a matricial… read more here.
Keywords: order; second order; block gaussian; global fluctuations ... See more keywords
Pseudo-Hermitian anti-Hermitian ensemble of Gaussian matrices.
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DOI: 10.1103/physreve.96.012154
Abstract: It is shown that the ensemble of pseudo-Hermitian Gaussian matrices recently introduced gives rise in a certain limit to an ensemble of anti-Hermitian matrices whose eigenvalues have properties directly related to those of the chiral… read more here.
Keywords: hermitian ensemble; hermitian anti; pseudo hermitian; ensemble gaussian ... See more keywords
Limits on Sparse Data Acquisition: RIC Analysis of Finite Gaussian Matrices
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DOI: 10.1109/tit.2018.2859327
Abstract: One of the key issues in the acquisition of sparse data by means of compressed sensing is the design of the measurement matrix. Gaussian matrices have been proven to be information-theoretically optimal in terms of… read more here.
Keywords: gaussian matrices; acquisition; ric; sparse data ... See more keywords