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math.SP2025
Regular Bohr-Sommerfeld rules for non-self-adjoint Berezin--Toeplitz operators and complex Lagrangian states
Alix Deleporte, Yohann Le Floch
We describe the eigenvalues and eigenvectors of real-analytic, non-self-adjoint Berezin--Toeplitz operators, up to exponentially small error, on complex one-dimensional compact man…
math.SP2023
Central limit theorem for smooth statistics of one-dimensional free fermions
Alix Deleporte, Gaultier Lambert
We consider the determinantal point processes associated with the spectral projectors of a Schrödinger operator on , with a smooth confining potential. In the semiclass…