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Title:
Universality for outliers in weakly confined Coulomb-type systems
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Abstract:
We consider weakly confined particle systems in the plane, characterized by a large number of outliers away from a droplet, where the bulk of the particles accumulate in the many-particle limit. For Coulomb gases at determinantal inverse temperature, and zeros of random polynomials, we observe that the limiting outlier process only depends on the shape of the uncharged region containing them (and the global net excess charge).
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