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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-ph2023
Spectral analysis and phase transitions for long-range interactions in harmonic chains of oscillators
Simon Becker, Angeliki Menegaki, Jiming Yu
We consider chains of harmonic oscillators in two dimensions coupled to two Langevin heat reservoirs at different temperatures - a classical model for heat conduction introduce…