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math-ph2022★ 4 cited
Exponents for Hamiltonian paths on random bicubic maps and KPZ
Philippe Di Francesco, Bertrand Duplantier, Olivier Golinelli +1
We evaluate the configuration exponents of various ensembles of Hamiltonian paths drawn on random planar bicubic maps. These exponents are estimated from the extrapolations of exac…
math.CO2022★ 1 cited
On quasi-polynomials counting planar tight maps
Jérémie Bouttier, Emmanuel Guitter, Grégory Miermont
A tight map is a map with some of its vertices marked, such that every vertex of degree is marked. We give an explicit formula for the number of plana…