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math.AP2026
Semiclassical Schrödinger operators with purely imaginary potential
Victor Arnaiz, Jean-Francois Bony, Laurent Michel
We consider Schrödinger operators with purely imaginary potential on a bounded domain. Assuming that near its critical points the potential can be…
math.AP2025
Counter-examples to the fractal Weyl law for semiclassical resonances
Jean-Francois Bony, Setsuro Fujiie, Thierry Ramond +1
Under general assumptions, the numbers of semiclassical resonances is known to be bounded from above by a negative power of which is given by the fractal dimension of the trapp…