63 citations · 237 across the 9 of their papers we have counts for
9 papers
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…