273 citations
- Centre National de la Recherche ScientifiqueFR21 papers
- Johns Hopkins UniversityUS18 papers
- University of PisaIT18 papers
- Heidelberg UniversityDE17 papers
- University of VictoriaCA17 papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR16 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di BariIT16 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di PisaIT16 papers
- University of California, RiversideUS16 papers
- University of California, Santa BarbaraUS16 papers
- Budker Institute of Nuclear PhysicsRU15 papers
- California Institute of TechnologyUS15 papers
7 papers · 1 filter
Interpolation between Airy and Poisson statistics for unitary chiral non-Hermitian random matrix ensembles
Gernot Akemann, Martin Bender
We consider a family of chiral non-Hermitian Gaussian random matrices in the unitarily invariant symmetry class. The eigenvalue distribution in this model is expressed in terms of…
Characteristic polynomials in real Ginibre ensembles
G. Akemann, M. J. Phillips, H. -J. Sommers
We calculate the average of two characteristic polynomials for the real Ginibre ensemble of asymmetric random matrices, and its chiral counterpart. Considered as quadratic forms th…
Power-law deformation of Wishart-Laguerre ensembles of random matrices
G. Akemann, P. Vivo
We introduce a one-parameter deformation of the Wishart-Laguerre or chiral ensembles of positive definite random matrices with Dyson index beta=1,2 and 4. Our generalised model has…
On invariant 2x2 β-ensembles of random matrices
Pierpaolo Vivo, Satya N. Majumdar
We introduce and solve exactly a family of invariant 2x2 random matrices, depending on one parameter η, and we show that rotational invariance and real Dyson index βare not incompa…
A Generalisation of Dyson's Integration Theorem for Determinants
Gernot Akemann, Leonid Shifrin
Dyson's integration theorem is widely used in the computation of eigenvalue correlation functions in Random Matrix Theory. Here we focus on the variant of the theorem for determina…
Massive partition functions and complex eigenvalue correlations in Matrix Models with symplectic symmetry
G. Akemann, F. Basile
We compute all massive partition functions or characteristic polynomials and their complex eigenvalue correlation functions for non-Hermitean extensions of the symplectic and chira…