163 citations · 827 across the 46 of their papers we have counts for
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math-ph2007★ 21 cited
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…
cond-mat.stat-mech2007★ 16 cited
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…
math.CO2007★ 28 cited
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…