# Pseudo-Hermitian Random Matrix Models: General Formalism

@inproceedings{Feinberg2021PseudoHermitianRM, title={Pseudo-Hermitian Random Matrix Models: General Formalism}, author={Joshua Feinberg and Roman Riser}, year={2021} }

Pseudo-hermitian matrices are matrices hermitian with respect to an indefinite metric. They can be thought of as the truncation of pseudo-hermitian operators, defined over some Krein space, together with the associated metric, to a finite dimensional subspace. As such, they can be used, in the usual spirit of random matrix theory, to model chaotic or disordered PT -symmetric quantum systems, or their gain-loss-balanced classical analogs, in the phase of broken PT -symmetry. The eigenvalues of…

## One Citation

Pseudo-hermitian random matrix theory: a review

- Physics, MathematicsJournal of Physics: Conference Series
- 2021

We review our recent results on pseudo-hermitian random matrix theory which were hitherto presented in various conferences and talks. (Detailed accounts of our work will appear soon in separate…

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