77 citations · 292 across the 11 of their papers we have counts for
4 papers · 1 filter
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…