77 citations · 292 across the 11 of their papers we have counts for
11 papers
Eigenvalue correlations in non-Hermitean symplectic random matrices
E. Kanzieper
Correlation function of complex eigenvalues of N by N random matrices drawn from non-Hermitean random matrix ensemble of symplectic symmetry is given in terms of a quaternion deter…
Spectra of massive and massless QCD Dirac operators: A novel link
G. Akemann, E. Kanzieper
We show that integrable structure of chiral random matrix models incorporating global symmetries of QCD Dirac operators (labeled by the Dyson index beta=1,2, and 4) leads to emerge…
Topological universality of level dynamics in quasi-one-dimensional disordered conductors
E. Kanzieper, V. E. Kravtsov
Nonperturbative, in inverse Thouless conductance 1/g, corrections to distributions of level velocities and level curvatures in quasi-one-dimensional disordered conductors with a to…
Two-band random matrices
E. Kanzieper, V. Freilikher
Spectral correlations in unitary invariant, non-Gaussian ensembles of large random matrices possessing an eigenvalue gap are studied within the framework of the orthogonal polynomi…
Random matrix models with log-singular level confinement: method of fictitious fermions
E. Kanzieper, V. Freilikher
Joint distribution function of N eigenvalues of U(N) invariant random-matrix ensemble can be interpreted as a probability density to find N fictitious non-interacting fermions to b…
Novel universal correlations in invariant random-matrix models
E. Kanzieper, V. Freilikher
We show that eigenvalue correlations in unitary-invariant ensembles of large random matrices adhere to novel universal laws that only depend on a multicriticality of the bulk densi…
Universality in invariant random-matrix models: Existence near the soft edge
E. Kanzieper, V. Freilikher
We consider two non-Gaussian ensembles of large Hermitian random matrices with strong level confinement and show that near the soft edge of the spectrum both scaled density of stat…
Eigenfunctions of electrons in weakly disordered quantum dots: Crossover between orthogonal and unitary symmetries
E. Kanzieper, V. Freilikher
A one-parameter random matrix model is proposed for describing the statistics of the local amplitudes and phases of electron eigenfunctions in a mesoscopic quantum dot in an arbitr…
Theory of random matrices with strong level confinement: orthogonal polynomial approach
V. Freilikher, E. Kanzieper, I. Yurkevich
Strongly non-Gaussian ensembles of large random matrices possessing unitary symmetry and logarithmic level repulsion are studied both in presence and absence of hard edge in their…
Unitary Random-Matrix Ensemble with Governable Level Confinement
V. Freilikher, E. Kanzieper, I. Yurkevich
A family of unitary -Ensembles of random matrices with governable confinement potential is studied employing exact results of the theory of non-classical orthogon…
Theory of random matrices with strong level confinement
V. Freilikher, E. Kanzieper, I. Yurkevich
Unitary ensembles of large N x N random matrices with a non-Gaussian probability distribution P[H] ~ exp{-TrV[H]} are studied using a theory of polynomials orthogonal with respect…