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 …

Products of rectangular random matrices: singular values and progressive scattering

G Akemann, JR Ipsen, M Kieburg - … Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
We discuss the product of M rectangular random matrices with independent Gaussian
entries, which have several applications, including wireless telecommunication and …

Singular value correlation functions for products of Wishart random matrices

G Akemann, M Kieburg, L Wei - Journal of Physics A …, 2013 - iopscience.iop.org
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 …

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 …

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 …

String stability of connected vehicle platoons under lossy V2V communication

V Vegamoor, S Rathinam… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
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 …

Eigenvalues and singular values of products of rectangular Gaussian random matrices

Z Burda, A Jarosz, G Livan, MA Nowak, A Swiech - Physical Review E …, 2010 - APS
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 …

Noise, sign problems, and statistics

MG Endres, DB Kaplan, JW Lee, AN Nicholson - Physical Review Letters, 2011 - APS
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 …

Universal microscopic correlation functions for products of truncated unitary matrices

G Akemann, Z Burda, M Kieburg… - Journal of Physics A …, 2014 - iopscience.iop.org
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 …

Universal distribution of Lyapunov exponents for products of Ginibre matrices

G Akemann, Z Burda, M Kieburg - Journal of Physics A …, 2014 - iopscience.iop.org
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 …