2 papers
math.AP2024
Spectral estimates on hyperbolic surfaces and a necessary condition for observability of the heat semigroup on manifolds
Alix Deleporte, Marc Rouveyrol
This article is a continuation of arXiv:2401.14977. We study the concentration properties of spectral projectors on manifolds, in connection with the uncertainty principle. In arXi…
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…