Repulsion in low temperature β-ensembles
classification
🧮 math.PR
math-phmath.CVmath.MP
keywords
betaseparationtemperatureabrikosovconjecturalcoulombensemblesholds
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We prove a result on separation of particles in a two-dimensional Coulomb plasma, which holds provided that the inverse temperature $\beta$ satisfies $\beta>1$. For large $\beta$, separation is obtained at the same scale as the conjectural Abrikosov lattice optimal separation.
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