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math-ph2019
Relating random matrix map enumeration to a universal symbol calculus for recurrence operators in terms of Bessel-Appell polynomials
Nicholas M. Ercolani, Patrick Waters
Maps are polygonal cellular networks on Riemann surfaces. This paper analyzes the construction of closed form general representations for the enumerative generating functions assoc…
math-ph2015★ 4 cited
Solution of the string equations for asymmetric potentials
Patrick Waters
We consider the large expansion of the partition function for the Hermitian one-matrix model. It is well known that the coefficients of this expansion are generating functions…