Christophe Charlier

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20242026

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math.CA2026

Hole probabilities and balayage of measures for planar Coulomb gases

Christophe Charlier

We study hole probabilities of two-dimensional Coulomb gases with a general potential and arbitrary temperature. The hole region $U$ is assumed to satisfy $\partial U \subset S$ , wh…

math.CA2026

Balayage of measures: behavior near a corner

Christophe Charlier, Jonatan Lenells

We consider the balayage of a measure $I^¼$ defined on a domain $I^c ◯$ onto its boundary $\partial I^c ◯$ . Assuming that $I^c ◯$ has a corner of opening $I ¨ I^\pm$ at a point $z_0 \in \partial…

math.CA2024

Balayage of measures: behavior near a cusp

Christophe Charlier, Jonatan Lenells

Let $I^¼$ be a positive measure supported on a domain $I^c ◯$ . We consider the behavior of the balayage measure $I^½ := Bal (I^¼, \partial I^c ◯)$ near a point $z_{0} \in \partial I^c ◯$ a…