163 citations · 1.4k across the 76 of their papers we have counts for
77 papers
Distance statistics of block-weighted planar quadrangulations
Jérémie Bouttier, Emmanuel Guitter, Hugo Manet
We study random planar quadrangulations in which each block -- i.e., each simple (without multiple edges) component -- is assigned a weight . We derive an explicit expression fo…
Enumeration of planar bipartite tight irreducible maps
Jérémie Bouttier, Emmanuel Guitter, Hugo Manet
We consider planar bipartite maps which are both tight, i.e. without vertices of degree , and -irreducible, i.e. such that each cycle has length at least and such that…
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)}_{\…
Counting mobiles by integrable systems
Michel Bergère, Bertrand Eynard, Emmanuel Guitter +1
Mobiles are a particular class of decorated plane trees which serve as codings for planar maps. Here we address the question of enumerating mobiles in their most general flavor, in…
Hamiltonian cycles on bicolored random planar maps
Bertrand Duplantier, Olivier Golinelli, Emmanuel Guitter
We study the statistics of Hamiltonian cycles on various families of bicolored random planar maps (with the spherical topology). These families fall into two groups corresponding t…
Exponents for Hamiltonian paths on random bicubic maps and KPZ
Philippe Di Francesco, Bertrand Duplantier, Olivier Golinelli +1
We evaluate the configuration exponents of various ensembles of Hamiltonian paths drawn on random planar bicubic maps. These exponents are estimated from the extrapolations of exac…