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- Eugene Kanzieper, Gernot Akemann
- Physical review letters
- 2005

The integrable structure of Ginibre's orthogonal ensemble of random matrices is looked at through the prism of the probability p(n,k) to find exactly k real eigenvalues in the spectrum of an n x nâ€¦ (More)

In the recent publication [E. Kanzieper and G. Akemann, Phys. Rev. Lett. 95, 230201 (2005)], an exact solution was reported for the probability pn,k to find exactly k real eigenvalues in the spectrumâ€¦ (More)

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 be confined in aâ€¦ (More)

- Vladimir Al Osipov, Eugene Kanzieper
- Physical review letters
- 2007

Motivated by the ongoing discussion about a seeming asymmetry in the performance of fermionic and bosonic replicas, we present an exact, nonperturbative approach to both fermionic and bosonicâ€¦ (More)

- Vladimir Al Osipov, Eugene Kanzieper
- Physical review letters
- 2008

The problem of quantum transport in chaotic cavities with broken time-reversal symmetry is shown to be completely integrable in the universal limit. This observation is utilized to determine theâ€¦ (More)

- Eugene Kanzieper
- 2001

Correlation function of complex eigenvalues of N Ã— N random matrices drawn from Ginibre's non-Hermitean ensemble of symplectic symmetry is given in terms of a quaternion determinant. Spectralâ€¦ (More)

- Eugene Kanzieper
- 2002

CÎ²(N) is a normalisation constant, w (z, zÌ„) is a weight function (see discussion below). For real matrices (Î² = 1) with no further symmetries, the reader is referred to much later papers by Lehmannâ€¦ (More)

- Eugene Kanzieper
- 2000

The microscopic spectral eigenvalue correlations of QCD Dirac operators in the presence of dynamical fermions are calculated within the framework of Random Matrix Theory (RMT). Our approach treatsâ€¦ (More)

Two alternative, fairly compact proofs are presented of the Pfaffian integration theorem that surfaced in the recent studies of spectral properties of Ginibreâ€™s Orthogonal Ensemble. The first proofâ€¦ (More)

Motivated by the ongoing discussion about a seeming asymmetry in the performance of fermionic and bosonic replicas, we present an exact, nonperturbative approach to both fermionic and bosonicâ€¦ (More)