Fluctuations in the Aztec diamonds via a space-like maximal surface in Minkowski 3-space
Résumé
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 three-dimensional Minkowski space R^{2,1}. This surface naturally appears as the limit of the graphs of origami maps associated to symmetric t-embeddings of Aztec diamonds, fitting the framework recently developed in [7,8].
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