Asymptotic Eigenvalue Distribution of Random Matrices and Free Stochastic Analysis

Springer Proceedings in Mathematics & Statistics - Random Matrices and Iterated Random Functions ◽

10.1007/978-3-642-38806-4_2 ◽

2013 ◽

pp. 31-44 ◽

Author(s):

Roland Speicher

Keyword(s):

Random Matrices ◽

Stochastic Analysis ◽

Eigenvalue Distribution ◽

Asymptotic Eigenvalue ◽

Asymptotic Eigenvalue Distribution

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The asymptotic eigenvalue-distribution for a certain class of random matrices

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(76)90011-1 ◽

1976 ◽

Vol 56 (1) ◽

pp. 113-132 ◽

Author(s):

Rudolf Wegmann

Keyword(s):

Random Matrices ◽

Eigenvalue Distribution ◽

Asymptotic Eigenvalue ◽

Asymptotic Eigenvalue Distribution

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On the asymptotic eigenvalue distribution of Block-Toeplitz matrices related to the generalized orthonormal basis functions model

10.1016/s0005-1098(99)00075-8 ◽

1999 ◽

Vol 35 (10) ◽

pp. 1653-1661 ◽

Author(s):

Tomás Oliveira e Silva

Keyword(s):

Orthonormal Basis ◽

Toeplitz Matrices ◽

Basis Functions ◽

Eigenvalue Distribution ◽

Block Toeplitz Matrices ◽

Asymptotic Eigenvalue ◽

Asymptotic Eigenvalue Distribution

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On the asymptotic eigenvalue distribution of concatenated vector-valued fading channels

IEEE Transactions on Information Theory ◽

10.1109/tit.2002.1013149 ◽

2002 ◽

Vol 48 (7) ◽

pp. 2086-2091 ◽

Author(s):

R.R. Muller

Keyword(s):

Fading Channels ◽

Eigenvalue Distribution ◽

Asymptotic Eigenvalue ◽

Asymptotic Eigenvalue Distribution ◽

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On the asymptotic eigenvalue distribution of Toeplitz matrices

IEEE Transactions on Information Theory ◽

10.1109/tit.1972.1054924 ◽

1972 ◽

Vol 18 (6) ◽

pp. 725-730 ◽

Author(s):

R. Gray

Keyword(s):

Toeplitz Matrices ◽

Eigenvalue Distribution ◽

Asymptotic Eigenvalue ◽

Asymptotic Eigenvalue Distribution

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On asymptotic eigenvalue distribution and trace formula of second order operator-differential equation

Advances in Pure and Applied Mathematics ◽

10.1515/apam.2011.006 ◽

2011 ◽

Vol 2 (2) ◽

Author(s):

Nigar M. Aslanova

Keyword(s):

Differential Equation ◽

Trace Formula ◽

Second Order ◽

Eigenvalue Distribution ◽

Operator Differential Equation ◽

Order Operator ◽

Asymptotic Eigenvalue ◽

Asymptotic Eigenvalue Distribution

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The asymptotic eigenvalue distribution for non-smooth elliptic operators

Proceedings of the Japan Academy ◽

10.3792/pja/1195519104 ◽

1974 ◽

Vol 50 (1) ◽

pp. 19-22 ◽

Author(s):

Hideo Tamura

Keyword(s):

Elliptic Operators ◽

Eigenvalue Distribution ◽

Asymptotic Eigenvalue ◽

Asymptotic Eigenvalue Distribution

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A theorem on the asymptotic eigenvalue distribution of Toeplitz-block-Toeplitz matrices

IEEE Transactions on Signal Processing ◽

10.1109/78.510633 ◽

1996 ◽

Vol 44 (7) ◽

pp. 1837-1841 ◽

Author(s):

P.A. Voois

Keyword(s):

Toeplitz Matrices ◽

Eigenvalue Distribution ◽

Block Toeplitz Matrices ◽

Asymptotic Eigenvalue ◽

Asymptotic Eigenvalue Distribution

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Universal asymptotic eigenvalue distribution of density matrices and corner transfer matrices in the thermodynamic limit

Physical Review E ◽

10.1103/physreve.59.r6227 ◽

1999 ◽

Vol 59 (6) ◽

pp. R6227-R6230 ◽

Author(s):

Kouichi Okunishi ◽

Yasuhiro Hieida ◽

Yasuhiro Akutsu

Keyword(s):

Thermodynamic Limit ◽

Eigenvalue Distribution ◽

Transfer Matrices ◽

Density Matrices ◽

Corner Transfer Matrices ◽

Asymptotic Eigenvalue ◽

Asymptotic Eigenvalue Distribution

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Asymptotic eigenvalue distribution of block-Toeplitz matrices

IEEE Transactions on Information Theory ◽

10.1109/18.661535 ◽

1998 ◽

Vol 44 (2) ◽

pp. 858-861 ◽

Author(s):

N.K. Bose ◽

K.J. Boo

Keyword(s):

Toeplitz Matrices ◽

Eigenvalue Distribution ◽

Block Toeplitz Matrices ◽

Asymptotic Eigenvalue ◽

Asymptotic Eigenvalue Distribution

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Study of the asymptotic eigenvalue distribution and trace formula of a second order operator-differential equation

Boundary Value Problems ◽

10.1186/1687-2770-2011-7 ◽

2011 ◽

Vol 2011 (1) ◽

Author(s):

Nigar Mahar Aslanova

Keyword(s):

Differential Equation ◽

Trace Formula ◽

Second Order ◽

Eigenvalue Distribution ◽

Operator Differential Equation ◽

Order Operator ◽

Asymptotic Eigenvalue ◽

Asymptotic Eigenvalue Distribution

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