activity
19952023
most citedUniversality of random matrices in the microscopic limit and the Dirac operator spectrum

199 citations · 2.9k across the 99 of their papers we have counts for

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Showing 2015Show all

5 papers · 1 filter

math-ph2015★ 22 cited

Hard edge limit of the product of two strongly coupled random matrices

Gernot Akemann, Eugene Strahov

We investigate the hard edge scaling limit of the ensemble defined by the squared singular values of the product of two coupled complex random matrices. When taking the coupling pa…

math-ph2015★ 16 cited

Spectral correlation functions of the sum of two independent complex Wishart matrices with unequal covariances

Gernot Akemann, Tomasz Checinski, Mario Kieburg

We compute the spectral statistics of the sum H of two independent complex Wishart matrices, each of which is correlated with a different covariance matrix. Random matrix theory en…

math-ph2015★ 20 cited

Dropping the independence: singular values for products of two coupled random matrices

Gernot Akemann, Eugene Strahov

We study the singular values of the product of two coupled rectangular random matrices as a determinantal point process. Each of the two factors is given by a parameter dependent l…

math-ph2015★ 109 cited

Recent exact and asymptotic results for products of independent random matrices

Gernot Akemann, Jesper R. Ipsen

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 asympt…

math-ph2015

The Smallest Eigenvalue Distribution in the Real Wishart-Laguerre Ensemble with Even Topology

Tim Wirtz, Gernot Akemann, Thomas Guhr +2

We consider rectangular random matrices of size belonging to the real Wishart-Laguerre ensemble also known as the chiral Gaussian orthogonal ensemble. This ensemble app…