177 citations · 906 across the 50 of their papers we have counts for
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math-ph2009★ 24 cited
Enumeration of maps with self avoiding loops and the O(n) model on random lattices of all topologies
G. Borot, B. Eynard
We compute the generating functions of a O(n) model (loop gas model) on a random lattice of any topology. On the disc and the cylinder, they were already known, and here we compute…
math-ph2009★ 119 cited
A matrix model for simple Hurwitz numbers, and topological recursion
G. Borot, B. Eynard, M. Mulase +1
We introduce a new matrix model representation for the generating function of simple Hurwitz numbers. We calculate the spectral curve of the model and the associated symplectic inv…