Tropicalization of the characteristic polynomial completely determines the leading powers and algebraic multiplicities of eigenvalue splitting for every multi-block non-Hermitian degeneracy under arbitrary one-parameter perturbations.
Uniform response theory of non-hermitian systems: Non- hermitian physics beyond the exceptional point
2 Pith papers cite this work. Polarity classification is still indexing.
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Derogatory exceptional points in non-Hermitian systems can be converted to non-derogatory exceptional points of the same order by infinitesimal perturbations, forming hierarchies of degeneracy structures both with and without pseudo-Hermitian symmetry.
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Characterizing all non-Hermitian degeneracies using algebraic approaches: Defectiveness and asymptotic behavior
Tropicalization of the characteristic polynomial completely determines the leading powers and algebraic multiplicities of eigenvalue splitting for every multi-block non-Hermitian degeneracy under arbitrary one-parameter perturbations.
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Converting non-Hermitian degeneracies of any order: Hierarchies of exceptional points and degeneracy manifolds
Derogatory exceptional points in non-Hermitian systems can be converted to non-derogatory exceptional points of the same order by infinitesimal perturbations, forming hierarchies of degeneracy structures both with and without pseudo-Hermitian symmetry.