Bulk Universality for Random Lozenge Tilings Near Straight Boundaries and for Tensor Products
Author(s)
Gorin, Vadim
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© 2016, Springer-Verlag Berlin Heidelberg. We prove that the asymptotic of the bulk local statistics in models of random lozenge tilings is universal in the vicinity of straight boundaries of the tiled domains. The result applies to uniformly random lozenge tilings of large polygonal domains on triangular lattice and to the probability measures describing the decomposition in Gelfand–Tsetlin bases of tensor products of representations of unitary groups. In a weaker form our theorem also applies to random domino tilings.
Date issued
2017Department
Massachusetts Institute of Technology. Department of MathematicsJournal
Communications in Mathematical Physics
Publisher
Springer Nature
Citation
Gorin, V. "Bulk Universality for Random Lozenge Tilings near Straight Boundaries and for Tensor Products." Communications in Mathematical Physics (2016): 1-28.
Version: Author's final manuscript