17 citations · 21 across the 4 of their papers we have counts for
4 papers
Logarithmic Spectral Distribution of a Non-Hermitian -Ensemble
Gernot Akemann, Francesco Mezzadri, Patricia Päßler +1
We introduce a non-Hermitian -ensemble and determine its spectral density in the limit of large and large matrix size . The ensemble is given by a general tridiagonal com…
Complex symmetric, self-dual, and Ginibre random matrices: Analytical results for three classes of bulk and edge statistics
Gernot Akemann, Noah Aygün, Mario Kieburg +1
Recently, a conjecture about the local bulk statistics of complex eigenvalues has been made based on numerics. It claims that there are only three universality classes, which have…
Interactions Between Different Birds of Prey as a Random Point Process
Gernot Akemann, Nayden Chakarov, Oliver Krüger +3
The two-dimensional Coulomb gas is a one-parameter family of random point processes, depending on the inverse temperature . Based on previous work, it is proposed as a simple st…
Spacing distribution in the 2D Coulomb gas: Surmise and symmetry classes of non-Hermitian random matrices at non-integer
Gernot Akemann, Adam Mielke, Patricia Päßler
A random matrix representation is proposed for the two-dimensional (2D) Coulomb gas at inverse temperature . For matrices with Gaussian distribution we analytically…