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math-ph2011★ 2 cited
Large N expansions and Painlevé hierarchies in the Hermitian matrix model
Gabriel Álvarez, Luis Martínez Alonso, Elena Medina
We present a method to characterize and compute the large N formal asymptotics of regular and critical Hermitian matrix models with general even potentials in the one-cut and two-c…
math-ph2011★ 7 cited
An efficient method for computing genus expansions and counting numbers in the Hermitian matrix model
Gabriel Álvarez, Luis Martínez Alonso, Elena Medina
We present a method to compute the genus expansion of the free energy of Hermitian matrix models from the large N expansion of the recurrence coefficients of the associated family…