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math-ph2004★ 4 cited
Asymptotics of the partition function of a random matrix model
Pavel Bleher, Alexander Its
We prove a number of results concerning the large asymptotics of the free energy of a random matrix model with a polynomial potential . Our approach is based on a deforma…
math-ph2002
Double scaling limit in the random matrix model: the Riemann-Hilbert approach
Pavel Bleher, Alexander Its
We prove the existence of the double scaling limit in the unitary matrix model with quartic interaction, and we show that the correlation functions in the double scaling limit are…