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math.SP2023★ 2 cited
Purely magnetic tunnelling between radial magnetic wells
Søren Fournais, Léo Morin, Nicolas Raymond
This article is devoted to the semiclassical spectral analysis of the magnetic Laplacian in two dimensions. Assuming that the magnetic field is positive and has two symmetric radia…
math.SP2023
Quantitative Magnetic Isoperimetric Inequality
Rohan Ghanta, Lukas Junge, Leo Morin
In 1996 Erdoes showed that among planar domains of fixed area, the smallest principal eigenvalue of the Dirichlet Laplacian with a constant magnetic field is uniquely achieved on t…