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math.CO2026
Universal Asymptotics and Exact Enumeration of Eulerian Maps
Ahmad Barhoumi, Roozbeh Gharakhloo, Nathan Hayford
We calculate the asymptotics of the number of connected, labeled, genus Eulerian maps with an arbitrary degree sequence, in the limit as the total number of vertices tends to i…
math-ph2026
The Ising Model Coupled to 2D Gravity: Critical Partition Function
Maurice Duits, Nathan Hayford, Seung-Yeop Lee
We prove that the differential of the log of the partition function for the -matrix model with quartic interactions converges in a certain double-scaling regime to the different…