141 citations · 175 across the 11 of their papers we have counts for
11 papers
Three non-Hermitian random matrix universality classes of complex edge statistics: Spacing ratios and distributions
Gernot Akemann, Georg Angermann, Noah Aygün +4
The conjectured three generic local bulk statistics amongst all non-Hermitian random matrix symmetry classes have recently been extended to three generic local edge statistics. We…
Distributed Delay Systems with Oscillations in the Time Histories
Adam Mielke, Mads Peter Sørensen, John Wyller
We design a Linear Chain Trick (LCT)-algorithm for dynamical systems with distributed time delay where the time histories contain temporal oscillations. The methodology is illustra…
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…
On the Role of Spatial Effects in Early Estimates of Disease Infectiousness: A Second Quantization Approach
Adam Mielke
With the covid-19 pandemic still ongoing and an enormous amount of test data available, the lessons learned over the last two years need to be developed to a point where they can p…
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…
Territorial behaviour of buzzards versus random matrix spacing distributions
Gernot Akemann, Michael Baake, Nayden Chakarov +4
A deeper understanding of the processes underlying the distribution of animals in space is crucial for both basic and applied ecology. The Common buzzard (Buteo buteo) is a highly…
Universal distributions from non-Hermitian Perturbation of Zero-Modes
M. Kieburg, A. Mielke, M. Rud +1
Hermitian operators with exact zero modes subject to non-Hermitian perturbations are considered. Specific focus is on the average distribution of the initial zero modes of the Herm…
Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems
Gernot Akemann, Mario Kieburg, Adam Mielke +1
We study the transition between integrable and chaotic behaviour in dissipative open quantum systems, exemplified by a boundary driven quantum spin-chain. The repulsion between the…
Universal Broadening of Zero Modes: A General Framework and Identification
M. Kieburg, A. Mielke, K. Splittorff
We consider the smallest eigenvalues of perturbed Hermitian operators with zero modes, either topological or system specific. To leading order for small generic perturbation we sho…
Preserving Topology while Breaking Chirality: From Chiral Orthogonal to Anti-symmetric Hermitian Ensemble
Gernot Akemann, Mario Kieburg, Adam Mielke +1
We consider a parameter dependent ensemble of two real random matrices with Gaussian distribution. It describes the transition between the symmetry class of the chiral Gaussian ort…
Universal Distribution of Would-be Topological Zero Modes in Coupled Chiral Systems
Adam Mielke, K. Splittorff
We consider two quenched, chiral ensembles which are coupled in such a way that a combined chiral symmetry is preserved. The coupling also links the topology of the two systems suc…