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math.CO2002★ 61 cited
The degree distribution in bipartite planar maps: applications to the Ising model
Mireille Bousquet-Melou, Gilles Schaeffer
We characterize the generating function of bipartite planar maps counted according to the degree distribution of their black and white vertices. This result is applied to the solut…
math.CO2002★ 1 cited
Random Planar Lattices and Integrated SuperBrownian Excursion
Philippe Chassaing, Gilles Schaeffer
In this paper, a surprising connection is described between a specific brand of random lattices, namely planar quadrangulations, and Aldous' Integrated SuperBrownian Excursion (ISE…