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math-ph2026
Spectral gaps for mean-field Coulomb gases
Simon Becker, Angeliki Menegaki
We prove a Poincaré inequality, uniform in the particle number, for repulsive (one-component) Coulomb gases in dimensions , with inverse temperature that is allowed to…
math.AP2026
Global Well-Posedness near Rayleigh-Jeans Equilibria for the Cubic NLS Wave Kinetic Equation
Miguel Escobedo, Angeliki Menegaki
We study the dynamics of the kinetic wave equation associated to the three dimensional Schrödinger equation close to Rayleigh-Jeans equilibria. We first prove that the linearised o…
math-ph2026
A review on the kinetic theory of oscillator chains
Pierre Germain, Joonhyun La, Angeliki Menegaki
We review the kinetic theory of one-dimensional nonlinear oscillator chains, of which the most famous example is the Fermi-Pasta-Ulam-Tsingou equation. We provide detailed, though…