Eigenvector non-orthogonality in non-Hermitian random matrices: theory and applications

  • 8 December 2023
  • 2pm-3pm
  • Sch 1.05
  • Yan Fyodorov

Yan Fyodorov (KCL)

Non-Hermitian random matrices are generically non-normal, so are characterized by
by-orthogonal set of left and right eigenvectors.  The corresponding non-orthogonality
overlap factors are responsible for controlling stability of eigenvalues against additive perturbations. Statistics of these factors in various random matrix ensembles have been under active investigation recently.

I plan to present some results in this research area as well as discuss a few examples
of nonorthogonality showing up in characteristics of some physical systems.

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