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math.SP2023
The Szegő kernel in analytic regularity and analytic Fourier Integral Operators
Alix Deleporte
We build a general theory of microlocal (homogeneous) Fourier Integral Operators in real-analytic regularity, following the general construction in the smooth case by Hörmander and…
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…