78 citations · 542 across the 28 of their papers we have counts for
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Replica Approach in Random Matrix Theory
Eugene Kanzieper
This Chapter outlines the replica approach in Random Matrix Theory. Both fermionic and bosonic versions of the replica limit are introduced and its trickery is discussed. A brief o…
Are Bosonic Replicas Faulty?
Vladimir Al. Osipov, Eugene Kanzieper
Motivated by the ongoing discussion about a seeming asymmetry in the performance of fermionic and bosonic replicas, we present an exact, nonperturbative approach to zero-dimensiona…
Exact replica treatment of non-Hermitean complex random matrices
Eugene Kanzieper
Recently discovered exact integrability of zero-dimensional replica field theories [E. Kanzieper, Phys. Rev. Lett. 89, 250201 (2002)] is examined in the context of Ginibre Unitary…
Replica field theories, Painleve transcendents, and exact correlation functions
Eugene Kanzieper
Exact solvability is claimed for nonlinear replica sigma models derived in the context of random matrix theories. Contrary to other approaches reported in the literature, the frame…
Higher order parametric level statistics in disordered systems
E. Kanzieper, V. Freilikher
Higher order parametric level correlations in disordered systems with broken time-reversal symmetry are studied by mapping the problem onto a model of coupled Hermitian random matr…