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Recent exact and asymptotic results for products of independent random matrices
G Akemann, JR Ipsen - arxiv preprint arxiv:1502.01667, 2015 - arxiv.org
In this review we summarise recent results for the complex eigenvalues and singular values
of finite products of finite size random matrices, their correlation functions and asymptotic …
of finite products of finite size random matrices, their correlation functions and asymptotic …
Products of rectangular random matrices: singular values and progressive scattering
We discuss the product of M rectangular random matrices with independent Gaussian
entries, which have several applications, including wireless telecommunication and …
entries, which have several applications, including wireless telecommunication and …
Singular value correlation functions for products of Wishart random matrices
We consider the product of M quadratic random matrices with complex elements and no
further symmetry, where all matrix elements of each factor have a Gaussian distribution. This …
further symmetry, where all matrix elements of each factor have a Gaussian distribution. This …
A simplified model for the indoor power line channel
S Galli - 2009 IEEE international symposium on power line …, 2009 - ieeexplore.ieee.org
We report for the first time some statistical properties of the indoor power line (PL) channel
that exhibit some interesting similarities to the wireless channel, although some fundamental …
that exhibit some interesting similarities to the wireless channel, although some fundamental …
Weak commutation relations and eigenvalue statistics for products of rectangular random matrices
JR Ipsen, M Kieburg - Physical Review E, 2014 - APS
We study the joint probability density of the eigenvalues of a product of rectangular real,
complex, or quaternion random matrices in a unified way. The random matrices are …
complex, or quaternion random matrices in a unified way. The random matrices are …
String stability of connected vehicle platoons under lossy V2V communication
Recent advances in vehicle connectivity have allowed formation of autonomous vehicle
platoons for improved mobility and traffic throughput. In order to avoid a pile-up in such …
platoons for improved mobility and traffic throughput. In order to avoid a pile-up in such …
Eigenvalues and singular values of products of rectangular Gaussian random matrices
We derive exact analytic expressions for the distributions of eigenvalues and singular values
for the product of an arbitrary number of independent rectangular Gaussian random matrices …
for the product of an arbitrary number of independent rectangular Gaussian random matrices …
Noise, sign problems, and statistics
We show how sign problems in simulations of many-body systems can manifest themselves
in the form of heavy-tailed correlator distributions, similar to what is seen in electron …
in the form of heavy-tailed correlator distributions, similar to what is seen in electron …
Universal microscopic correlation functions for products of truncated unitary matrices
We investigate the spectral properties of the product of M complex non-Hermitian random
matrices that are obtained by removing L rows and columns of larger unitary random …
matrices that are obtained by removing L rows and columns of larger unitary random …
Universal distribution of Lyapunov exponents for products of Ginibre matrices
Starting from exact analytical results on singular values and complex eigenvalues of
products of independent Gaussian complex random N× N matrices, also called the Ginibre …
products of independent Gaussian complex random N× N matrices, also called the Ginibre …