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math.SP2020
Spectral flow for pair compatible equipartitions
Bernard Helffer, Mikael Persson Sundqvist
We show that a recent spectral flow approach proposed by Berkolaiko-Cox-Marzuola for analyzing the nodal deficiency of the nodal partition associated to an eigenfunction can be ext…
math.SP2019
Counterexample to strong diamagnetism for the magnetic Robin Laplacian
Ayman Kachmar, Mikael P. Sundqvist
We determine a counterexample to strong diamagnetism for the Laplace operator in the unit disc with a uniform magnetic field and Robin boundary condition. The example follows from…