Periodic Aztec diamond height fluctuations are shown to decompose into a Gaussian free field plus a discrete-Gaussian random harmonic component.
Lozenge tilings and the G aussian free field on a cylinder
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Gaussian Free Field and Discrete Gaussians in Periodic Dimer Models
Periodic Aztec diamond height fluctuations are shown to decompose into a Gaussian free field plus a discrete-Gaussian random harmonic component.