45 citations · 242 across the 24 of their papers we have counts for
26 papers
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…
Universality of spin correlations in the Ising model on isoradial graphs
Dmitry Chelkak, Konstantin Izyurov, Rémy Mahfouf
We prove universality of spin correlations in the scaling limit of the planar Ising model on isoradial graphs with uniformly bounded angles and Z-invariant weights. Specifically, w…
Correlations of primary fields in the critical Ising model
Dmitry Chelkak, Clément Hongler, Konstantin Izyurov
We prove convergence of renormalized correlations of primary fields, i. e., spins, disorders, fermions and energy densities, in the scaling limit of the critical Ising model in arb…
Ising model and s-embeddings of planar graphs
Dmitry Chelkak
We discuss the notion of s-embeddings of planar graphs carrying a nearest-neighbor Ising model. The construction of …
Fluctuations in the Aztec diamonds via a space-like maximal surface in Minkowski 3-space
Dmitry Chelkak, Sanjay Ramassamy
We provide a new description of the scaling limit of dimer fluctuations in homogeneous Aztec diamonds via the intrinsic conformal structure of a space-like maximal surface in the t…
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…