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Title:聽Outliers in Coulomb-type particle systems.

Abstract: We consider point processes in the plane, with a large number of outliers away from a droplet, where the bulk of the particles accumulate in the many-particle limit. For two different types of such systems, we observe that the limiting outlier process essentially only depends on the shape of the component (in the complement of the droplet) containing the outliers. Moreover, the outliers in different such components are asymptotically independent, and exhibit conformal invariance with respect to the shape of the component.

Based on a joint work with R. Butez, D. Garc铆a-Zelada, and A. Wennman.