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arXiv · 1701.04796

Repulsion in low temperature $β$-ensembles

Yacin Ameur
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Abstract

We prove a result on separation of particles in a two-dimensional Coulomb plasma, which holds provided that the inverse temperature $β$ satisfies $β>1$. For large $β$, separation is obtained at the same scale as the conjectural Abrikosov lattice optimal separation.

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Yacin Ameur. 2017-09-23. Repulsion in low temperature $β$-ensembles. https://doi.org/10.1007/s00220-017-3027-2

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