Universality of the outliers in weakly confined Coulomb gases in dimension.

Resumen:  

In the talk, we will study two particle systems with a strong conection to statistical physics: on one hand a class of Coulomb gases (model which describes the positions of electrons in dimension 2, attracted by a positive distribution of charges), and on the other hand zeros of random polynomials. For both models, it is known that most particules cluster in a compact set (the empirical measures converge), and we will study the existence of particles outside of this compact. We will see that these outliers converge towards a universal point process, called the Bergman point process, which presents some properties of conformal invariance.
Based on a joint works with David García-Zelada, Alon Nishry and Aron Wennman.

Posted on Apr 26, 2021 in Seminario Probabilidades CMM, Seminars