G
Gernot Akemann
Researcher at Bielefeld University
Publications - 198
Citations - 5318
Gernot Akemann is an academic researcher from Bielefeld University. The author has contributed to research in topics: Random matrix & Eigenvalues and eigenvectors. The author has an hindex of 37, co-authored 192 publications receiving 4923 citations. Previous affiliations of Gernot Akemann include Centre national de la recherche scientifique & Royal Institute of Technology.
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Book
The Oxford Handbook of Random Matrix Theory
TL;DR: In this article, the authors present a survey of the application of the RANDOM MATRIX Theory to real-world applications of the MMT theory, including the following:
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Products of rectangular random matrices: Singular values and progressive scattering
TL;DR: The so-called ergodic mutual information is considered, which gives an upper bound for the spectral efficiency of a MIMO communication channel with multifold scattering.
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Higher genus correlators for the Hermitian matrix model with multiple cuts
TL;DR: In this paper, an iterative scheme is set up for solving the loop equation of the hermitian one-matrix model with a multi-cut structure, and explicit results are presented for genus one for an arbitrary but finite number of cuts.
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Universality of random matrices in the microscopic limit and the Dirac operator spectrum
TL;DR: In this paper, the authors proved the universality of correlation functions of chiral unitary and unitary ensembles of random matrices in the microscopic limit by reducing the three-term recursion relation for the relevant orthogonal polynomials into a Bessel equation governing the local asymptotics around the origin.
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Singular value correlation functions for products of Wishart random matrices
TL;DR: In this paper, the joint probability distribution for the singular values of the product matrix when the matrix size N and the number M are fixed but arbitrary was derived for a channel model with M - 1 layers of scatterers.