163 citations · 827 across the 46 of their papers we have counts for
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math-ph2008★ 9 cited
Confluence of geodesic paths and separating loops in large planar quadrangulations
J. Bouttier, E. Guitter
We consider planar quadrangulations with three marked vertices and discuss the geometry of triangles made of three geodesic paths joining them. We also study the geometry of minima…
math-ph2008★ 38 cited
The three-point function of planar quadrangulations
J. Bouttier, E. Guitter
We compute the generating function of random planar quadrangulations with three marked vertices at prescribed pairwise distances. In the scaling limit of large quadrangulations, th…