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19932026
most citedOn Landau damping

467 citations

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math-ph2026

Semi-classical limit of an attractive Fermi gas in one or two dimensions

Thomas Gamet

We study the ground-state of a Fermi gas with short range attrative interactions in one or two dimensions. N fermions are placed in a confining potential, and interact with each ot…

math-ph2025

Ground state energy of a dilute inhomogeneous Fermi gas

Thomas Gamet

We study the ground state energy of a system of N fermions with two spin states in the large N limit. The particles are placed in an inhomogeneous trapping potential and interact v…

math-ph2025

Free-energy variations for determinantal 2D plasmas with holes

Nicolas Rougerie

We study the Gibbs equilibrium of a classical 2D Coulomb gas in the determinantal case = 2. The external potential is the sum of a quadratic term and the potential generated by…

math-ph2025

Renormalization of bosonic quadratic Hamiltonians involving rank-one perturbations

Thomas Gamet

We study the renormalization of a bosonic quadratic Hamiltonian with an ultraviolet divergence. The Hamiltonian is composed of the sum of a free part and the square of the smeared…

math-ph2025

Commutator Estimates and Quantitative Local Weyl's Law for Schrödinger Operators with Non-Smooth Potentials

Esteban Cárdenas, Laurent Lafleche

We analyze semi-classical Schrödinger operators with potentials of class and establish commutator estimates for the associated projection operators in Schatten norms. T…

math-ph2024

Asymptotic expansion of the partition function for -ensembles with complex potentials

Alice Guionnet, Karol Kozlowski, Alex Little

In this work we establish under certain hypotheses the asymptotic expansion of integrals of the form $$\mathcal{Z}_{N,Γ}[V] \, = \, \int_{Γ^N} \prod_{ a < b}^{N}(z_…