2 problems

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Conjecture on continuity of the Clifford linear gap function
Continuity conjecture. The Clifford linear gap function is pointwise continuous.
Conjectureopennon-hermitian-physics operator-theory spectral-localizersarXiv posted 2 days ago
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Conjecture on the local projected measure of perturbation strength
A photonic system is described by a Hamiltonian $H$ with local gap $\mu_{(x,y,\omega)}^{\textrm{C}}$ at position $(x,y)$ and frequency $\omega$ . Let $\delta H$ be a perturbation, a…
Conjectureopennon-hermitian-systems spectral-localizers topological-photonicsarXiv posted 2 days ago

Conjecture on continuity of the Clifford linear gap function