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.
Prob- ing phase transitions in non-hermitian systems with quantum entanglement
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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.