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math.PR2025
Birth of a gap: Critical phenomena in 2D Coulomb gas
Matthias Allard, Sampad Lahiry
We investigate a family of radially symmetric Coulomb gas systems at inverse temperature . The family is characterised by the property that the density of the equilibrium mea…
math.PR2025
Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall
Matthias Allard, Peter J. Forrester, Sampad Lahiry +1
The large asymptotic expansion of the partition function for the normal matrix model is predicted to have special features inherited from its interpretation as a two-dimensiona…