163 citations · 1.4k across the 76 of their papers we have counts for
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math.CO2010★ 21 cited
Planar maps and continued fractions
J. Bouttier, E. Guitter
We present an unexpected connection between two map enumeration problems. The first one consists in counting planar maps with a boundary of prescribed length. The second one consis…
math-ph2010★ 1 cited
Distance statistics in large toroidal maps
E. Guitter
We compute a number of distance-dependent universal scaling functions characterizing the distance statistics of large maps of genus one. In particular, we obtain explicitly the pro…
math-ph2010★ 14 cited
Distance statistics in quadrangulations with no multiple edges and the geometry of minbus
J. Bouttier, E. Guitter
We present a detailed calculation of the distance-dependent two-point function for quadrangulations with no multiple edges. Various discrete observables measuring this two-point fu…