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Fluctuations in the Aztec diamonds via a Lorentz-minimal surface

Abstract : 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 naturally appears as the limit of the graphs of origami maps associated to symmetric t-embeddings (Coulomb gauges) of Aztec diamonds, fitting the framework of [6, 7].
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https://hal.archives-ouvertes.fr/hal-02572666
Contributor : Sanjay Ramassamy <>
Submitted on : Wednesday, May 13, 2020 - 6:00:47 PM
Last modification on : Friday, May 15, 2020 - 2:31:00 AM

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  • HAL Id : hal-02572666, version 1

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Dmitry Chelkak, Sanjay Ramassamy. Fluctuations in the Aztec diamonds via a Lorentz-minimal surface. 2020. ⟨hal-02572666⟩

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