163 citations · 827 across the 46 of their papers we have counts for
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math-ph2011★ 42 cited
A recursive approach to the O(n) model on random maps via nested loops
G. Borot, J. Bouttier, E. Guitter
We consider the O(n) loop model on tetravalent maps and show how to rephrase it into a model of bipartite maps without loops. This follows from a combinatorial decomposition that c…
math-ph2011★ 4 cited
Matrix integrals and enumeration of maps
J. Bouttier
This chapter is an introduction to the connection between random matrices and maps, i.e graphs drawn on surfaces. We concentrate on the one-matrix model and explain how it encodes…