38 citations · 104 across the 5 of their papers we have counts for
5 papers
The three-point function of planar quadrangulations
J. Bouttier, E. Guitter
We compute the generating function of random planar quadrangulations with three marked vertices at prescribed pairwise distances. In the scaling limit of large quadrangulations, th…
Statistics of geodesics in large quadrangulations
J. Bouttier, E. Guitter
We study the statistical properties of geodesics, i.e. paths of minimal length, in large random planar quadrangulations. We extend Schaeffer's well-labeled tree bijection to the ca…
Vacancy localization in the square dimer model
J. Bouttier, M. Bowick, E. Guitter +1
We study the classical dimer model on a square lattice with a single vacancy by developing a graph-theoretic classification of the set of all configurations which extends the spann…
Blocked edges on Eulerian maps and mobiles: Application to spanning trees, hard particles and the Ising model
J. Bouttier, P. Di Francesco, E. Guitter
We introduce Eulerian maps with blocked edges as a general way to implement statistical matter models on random maps by a modification of intrinsic distances. We show how to code t…
Planar maps as labeled mobiles
J. Bouttier, P. Di Francesco, E. Guitter
We extend Schaeffer's bijection between rooted quadrangulations and well-labeled trees to the general case of Eulerian planar maps with prescribed face valences, to obtain a biject…