4 citations · 5 across the 6 of their papers we have counts for
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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…
Uniform spectral asymptotics for semiclassical wells on phase space loops
Alix Deleporte, San Vũ Ng\d{o}c
We consider semiclassical self-adjoint operators whose symbol, defined on a two-dimensional symplectic manifold, reaches a non-degenerate minimum on a closed curve. We derive…
Fractional exponential decay in the forbidden region for Toeplitz operators
Alix Deleporte
We prove several results of concentration for eigenfunctions in Toeplitz quantization. With mild assumptions on the regularity, we prove that eigenfunctions are awa…
Toeplitz operators with analytic symbols
Alix Deleporte
We provide asymptotic formulas for the Bergman projector and Berezin-Toeplitz operators on a compact K{ä}hler manifold. These objects depend on an integer N and we study, in the li…