Bulk Universality for Random Lozenge Tilings Near Straight Boundaries and for Tensor Products
Name
1603.02707.pdf
Description
Accepted version
Size
674.62 KB
Format
Adobe PDF
Checksum (MD5)
ee4607ab8d25e8d6eceec5d6da730eda
Author(s)
Gorin, Vadim
Date Issued
2017
Journal
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
Abstract
© 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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/S00220-016-2801-X
