Height Fluctuations of Random Lozenge Tilings Through Nonintersecting Random Walks
Height Fluctuations of Random Lozenge Tilings Through Nonintersecting Random Walks
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Ithaca: Cornell University Library, arXiv.org
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English
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Ithaca: Cornell University Library, arXiv.org
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In this paper we study height fluctuations of random lozenge tilings of polygonal domains on the triangular lattice through nonintersecting Bernoulli random walks. For a large class of polygons which have exactly one horizontal upper boundary edge, we show that these random height functions converge to a Gaussian Free Field as predicted by Kenyon a...
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Height Fluctuations of Random Lozenge Tilings Through Nonintersecting Random Walks
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TN_cdi_proquest_journals_2457446549
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2457446549
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2331-8422
