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math.SP2023★ 1 cited
The Duistermaat index and eigenvalue interlacing for self-adjoint extensions of a symmetric operator
Gregory Berkolaiko, Graham Cox, Yuri Latushkin +1
Eigenvalue interlacing is a useful tool in linear algebra and spectral analysis. In its simplest form, the interlacing inequality states that a rank-one positive perturbation shift…
gr-qc2023★ 9 cited
Symmetry and instability of marginally outer trapped surfaces
Ivan Booth, Graham Cox, Juan Margalef-Bentabol
We consider an initial data set having a continuous symmetry and a marginally outer trapped surface (MOTS) that is not preserved by this symmetry. We show that such a MOTS is unsta…