102 citations · 713 across the 38 of their papers we have counts for
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Enumeration of maps with tight boundaries and the Zhukovsky transformation
Jérémie Bouttier, Emmanuel Guitter, Grégory Miermont
We consider maps with tight boundaries, i.e. maps whose boundaries have minimal length in their homotopy class, and discuss the properties of their generating functions $T^{(g)}_{\…
On quasi-polynomials counting planar tight maps
Jérémie Bouttier, Emmanuel Guitter, Grégory Miermont
A tight map is a map with some of its vertices marked, such that every vertex of degree is marked. We give an explicit formula for the number of plana…
Bijective enumeration of planar bipartite maps with three tight boundaries, or how to slice pairs of pants
Jérémie Bouttier, Emmanuel Guitter, Grégory Miermont
We consider planar maps with three boundaries, colloquially called pairs of pants. In the case of bipartite maps with controlled face degrees, a simple expression for their generat…
A Boltzmann approach to percolation on random triangulations
Olivier Bernardi, Nicolas Curien, Grégory Miermont
We study the percolation model on Boltzmann triangulations using a generating function approach. More precisely, we consider a Boltzmann model on the set of finite planar triangula…