163 citations · 1.4k across the 76 of their papers we have counts for
23 papers · 1 filter
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…
Mass distribution exponents for growing trees
François David, Philippe Di Francesco, Emmanuel Guitter +1
We investigate the statistics of trees grown from some initial tree by attaching links to preexisting vertices, with attachment probabilities depending only on the valence of these…
Geometrically constrained statistical systems on regular and random lattices: From folding to meanders
P. Di Francesco, E. Guitter
We review a number a recent advances in the study of two-dimensional statistical models with strong geometrical constraints. These include folding problems of regular and random la…
Statistics of planar graphs viewed from a vertex: A study via labeled trees
J. Bouttier, P. Di Francesco, E. Guitter
We study the statistics of edges and vertices in the vicinity of a reference vertex (origin) within random planar quadrangulations and Eulerian triangulations. Exact generating fun…
Random trees between two walls: Exact partition function
J. Bouttier, P. Di Francesco, E. Guitter
We derive the exact partition function for a discrete model of random trees embedded in a one-dimensional space. These trees have vertices labeled by integers representing their po…
Geodesic Distance in Planar Graphs
J. Bouttier, P. Di Francesco, E. Guitter
We derive the exact generating function for planar maps (genus zero fatgraphs) with vertices of arbitrary even valence and with two marked points at a fixed geodesic distance. This…