Title	Universality for Lozenge Tiling Local Statistics
Creator	Aggarwal, Amol
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-11-19T09:01
Description	We consider uniformly random lozenge tilings of essentially arbitrary domains and show that the local statistics of this model around any point in the liquid region of its limit shape are given by the infinite-volume, translation-invariant, extremal Gibbs measure of the appropriate slope. In this talk, we outline a proof of this result, which proceeds by locally coupling a uniformly random lozenge tiling with a model of Bernoulli random walks conditioned to never intersect. Central to implementing this procedure is to establish a local law for the random tiling, which states that the associated height function is approximately linear on any mesoscopic scale.
Extent	56.0 minutes
Subject	Mathematics; Probability Theory And Stochastic Processes
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Harvard
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-05-18
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0390898
URI	http://hdl.handle.net/2429/74500
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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