185 citations · 210 across the 6 of their papers we have counts for
4 papers · 1 filter
Does a portion of dimer configuration determines its domain of definition?
Antoine Bannier, Benoit Laslier
Critical models are, almost by definition, supposed to feature both slow decay of correlations for local observables while retaining some mixing even for macroscopic observables. A…
Bipartite dimer model: perfect t-embeddings and Lorentz-minimal surfaces
Dmitry Chelkak, Benoît Laslier, Marianna Russkikh
This is the second paper in the series devoted to the study of the dimer model on t-embeddings of planar bipartite graphs. We introduce the notion of perfect t-embeddings and assum…
Central limit theorem for lozenge tilings with curved limit shape
Benoit Laslier
It has been well known for a long time that the height function of random lozenge tilings of large domains follow a law of large number and possible limits called dimer limit shape…
Local limits of lozenge tilings are stable under bounded boundary height perturbations
Benoit Laslier
We show that bounded changes to the boundary of a lozenge tilings do not affect the local behaviour inside the domain. As a consequence we prove the existence of a local limit in a…