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math.SP2026
Continuity of Weighted Dirac Spectra
Zixuan Qiu, Ruijun Wu
For the weighted Dirac eigenvalue problem, we show that the two-sided weighted spectrum depends continuously on the weight under continuous deformations within a uniformly elliptic…
math.SP2025
Weighted eigenvalues of Dirac operators: complete continuity and comparison
Zixuan Qiu, Ruijun Wu
We give a min-max characterization of all of the weighted Dirac eigenvalues, and show that the weighted eigenvalues and eigenspaces of Dirac operators are continuous with respect t…