4 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…
Dissipative Spectral Form Factor of the Complex Elliptic Ginibre Ensemble across Various Non-Hermiticity Regimes
Gernot Akemann, Sung-Soo Byun, Seungjoon Oh
We study the dissipative spectral form factor (DSFF) at complex time for the complex elliptic Ginibre ensemble with non-Hermiticity parameter . As the matr…
A tridiagonal matrix-valued process with stochastic resetting for arbitrary Dyson index
Gernot Akemann, Satya N. Majumdar, Patricia PäÃler
We introduce a symmetric tridiagonal matrix-valued process (-TMP) whose diagonal entries evolve independently via an Ornstein-Uhlenbeck process starting at…
Fluctuations in Various Regimes of Non-Hermiticity and a Holographic Principle
G. Akemann, M. Duits, L. D. Molag
The variance of the number of particles in a set is an important quantity in understanding the statistics of non-interacting fermionic systems in low dimensions. An exact map of th…