163 citations · 1.4k across the 76 of their papers we have counts for
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math-ph2012★ 24 cited
Loop models on random maps via nested loops: case of domain symmetry breaking and application to the Potts model
G. Borot, J. Bouttier, E. Guitter
We use the nested loop approach to investigate loop models on random planar maps where the domains delimited by the loops are given two alternating colors, which can be assigned di…
math-ph2012★ 36 cited
More on the O(n) model on random maps via nested loops: loops with bending energy
G. Borot, J. Bouttier, E. Guitter
We continue our investigation of the nested loop approach to the O(n) model on random maps, by extending it to the case where loops may visit faces of arbitrary degree. This allows…