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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.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…