36 citations · 196 across the 19 of their papers we have counts for
Showing 2006 · math.PRShow all
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math.PR2006★ 13 cited
Loop statistics in the toroidal honeycomb dimer model
Cédric Boutillier, Béatrice de Tilière
The dimer model on a graph embedded in the torus can be interpreted as a collection of random self-avoiding loops. In this paper, we consider the uniform toroidal honeycomb dimer m…
math.PR2006★ 33 cited
The bead model and limit behaviors of dimer models
Cédric Boutillier
In this paper, we study the bead model: beads are threaded on a set of wires on the plane represented by parallel straight lines. We add the constraint that between two consecutive…
math.PR2006★ 18 cited
Pattern densities in fluid dimer models
Cedric Boutillier
In this paper, we introduce a family of observables for the dimer model on a bi-periodic bipartite planar graph, called pattern density fields. We study the scaling limit of these…