On the statistics of resonances and non-orthogonal eigenfunctions in a   model for single-channel chaotic scattering
  We describe analytical and numerical results on the statistical properties of complex eigenvalues and the corresponding non-orthogonal eigenvectors for non-Hermitian random matrices modeling one-channel quantum-chaotic scattering in systems with broken time-reversal invariance. 
Y. V. Fyodorov and B. Mehlig