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math.PR2017
Pre-freezing transition in Boltzmann-Gibbs measures associated with log-correlated fields
Mo Dick Wong
We consider Boltzmann-Gibbs measures associated with log-correlated Gaussian fields as potentials and study their multifractal properties which exhibit phase transitions. In partic…
math.PR2017
Random Hermitian Matrices and Gaussian Multiplicative Chaos
Nathanaël Berestycki, Christian Webb, Mo Dick Wong
We prove that when suitably normalized, small enough powers of the absolute value of the characteristic polynomial of random Hermitian matrices, drawn from one-cut regular unitary…