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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.SP2024
Widom's conjecture: variance asymptotics and entropy bounds for counting statistics of free fermions
Alix Deleporte, Gaultier Lambert
We obtain a central limit theorem for bulk counting statistics of free fermions in smooth domains of with an explicit description of the covariance structure. This a…