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