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math.CA2024
Balayage of measures: behavior near a cusp
Christophe Charlier, Jonatan Lenells
Let be a positive measure supported on a domain . We consider the behavior of the balayage measure near a point at whic…
math.CA2024
Balayage of measures: behavior near a corner
Christophe Charlier, Jonatan Lenells
We consider the balayage of a measure defined on a domain onto its boundary . Assuming that has a corner of opening at a point for…
math.CA2023
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 is assumed to satisfy , wh…