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Dipole Formation in the Two-Component Plasma
Jeanne Boursier, Sylvia Serfaty
We consider the two-dimensional two-component plasma, or Coulomb gas, consisting of positive and negative charges with logarithmic interaction. We introduce a suitable regu…
math.PR2024
Large deviations for the smallest eigenvalue of a deformed GOE with an outlier
Jeanne Boursier, Alice Guionnet
We establish a large deviation principle for the smallest eigenvalue of a random matrix model composed of the sum of a GOE matrix and a diagonal matrix with an outlier. Our result…