Normalized |det(X-z)|^γ measures for i.i.d. matrices converge to Gaussian Multiplicative Chaos in the subcritical regime.
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Derives explicit free energy expansion including constant term for determinantal Coulomb gases in quadratic fields with point charge, equating the constant to the Liouville action associated with the droplet.
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Gaussian Multiplicative Chaos for i.i.d. matrices
Normalized |det(X-z)|^γ measures for i.i.d. matrices converge to Gaussian Multiplicative Chaos in the subcritical regime.
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Free energy expansion of determinantal Coulomb gases in the quadratic fields with a point charge
Derives explicit free energy expansion including constant term for determinantal Coulomb gases in quadratic fields with point charge, equating the constant to the Liouville action associated with the droplet.