Continuity of Weighted Dirac Spectra
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917399811325952 |
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| author | Qiu, Zixuan Wu, Ruijun |
| author_facet | Qiu, Zixuan Wu, Ruijun |
| contents | 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 class. Moreover, for differentiable families of weights we obtain a quantitative Lipschitz estimate for the full spectrum in the arsinh--metric, based on a weighted Hellmann--Feynman variational identity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_02195 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Continuity of Weighted Dirac Spectra Qiu, Zixuan Wu, Ruijun Spectral Theory 35Q41, 47A75, 49R05, 58J50 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 class. Moreover, for differentiable families of weights we obtain a quantitative Lipschitz estimate for the full spectrum in the arsinh--metric, based on a weighted Hellmann--Feynman variational identity. |
| title | Continuity of Weighted Dirac Spectra |
| topic | Spectral Theory 35Q41, 47A75, 49R05, 58J50 |
| url | https://arxiv.org/abs/2604.02195 |