# Bipartite dimer model: perfect t-embeddings and Lorentz-minimal surfaces

@inproceedings{Chelkak2021BipartiteDM, title={Bipartite dimer model: perfect t-embeddings and Lorentz-minimal surfaces}, author={Dmitry Chelkak and Benoit Laslier and Marianna Russkikh}, year={2021} }

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 assume that the graphs of the associated origami maps converge to a Lorentz-minimal surface Sξ as δ → 0. In this setup we prove (under very mild technical assumptions) that the gradients of the height correlation functions converge to those of the Gaussian Free Field defined in the intrinsic metric of the surface Sξ. We… Expand

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Fluctuations in the Aztec diamonds via a Lorentz-minimal surface

- Physics, Mathematics
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We provide a new description of the scaling limit of dimer fluctuations in homogeneous Aztec diamonds via the intrinsic conformal structure of a Lorentz-minimal surface in R^{2+1}. This surface… Expand

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