185 citations · 253 across the 17 of their papers we have counts for
18 papers
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…
The mixing time of the lozenge tiling Glauber dynamics
Benoit Laslier, Fabio Toninelli
The broad motivation of this work is a rigorous understanding of reversible, local Markov dynamics of interfaces, and in particular their speed of convergence to equilibrium, measu…
Dimers on Riemann surfaces II: conformal invariance and scaling limit
Nathanaël Berestycki, Benoit Laslier, Gourab Ray
Given a bounded Riemann surface of finite topological type, we show the existence of a universal and conformally invariant scaling limit for the Temperleyan cycle-rooted spanni…
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…
Dimer model and holomorphic functions on t-embeddings of planar graphs
Dmitry Chelkak, Benoît Laslier, Marianna Russkikh
We introduce the framework of discrete holomorphic functions on t-embeddings of weighted bipartite planar graphs; t-embeddings also appeared under the name Coulomb gauges in a rece…