asymptotic analysis 1enumerative combinatorics 1Eulerian maps 1map enumeration 1orthogonal polynomials 1Painlevé equations 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.CO2026
Universal Asymptotics and Exact Enumeration of Eulerian Maps
Ahmad Barhoumi, Roozbeh Gharakhloo, Nathan Hayford
The paper derives universal asymptotic formulas for counting labeled Eulerian maps of any genus with arbitrary degree sequences, and provides an exact enumeration for genus‑1 maps,…
math-ph2025
The lozenge tiling model via non-Hermitian orthogonal polynomials
Ahmad Barhoumi, Maurice Duits
We consider the lozenge tiling model on a large, finite hexagon. It is well-known that random lozenge tilings of the hexagon correspond to a two-dimensional deter…