Asymptotics of random lozenge tilings via Gelfand–Tsetlin schemes

A Gelfand–Tsetlin scheme of depth N is a triangular array with m integers at level m , m = 1 , … , N , subject to certain interlacing constraints. We study the ensemble of uniformly random Gelfand–Tsetlin schemes with arbitrary fixed N th row. We obtain an explicit double contour integral expression...

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Bibliographic Details
Published in:	Probability theory and related fields Vol. 160; no. 3-4; pp. 429 - 487
Main Author:	Petrov, Leonid
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2014 Springer Nature B.V
Subjects:	Arrays Asymptotic methods Asymptotic properties Economics Ergodic processes Finance Growth models Insurance Invariants Management Mathematical analysis Mathematical and Computational Biology Mathematical and Computational Physics Mathematics Mathematics and Statistics Operations Research/Decision Theory Planes Polygons Polynomials Probability Probability Theory and Stochastic Processes Quantitative Finance Slopes Statistics for Business Studies Theoretical Tiling Topological manifolds 60C05 82C22 60G55
ISSN:	0178-8051, 1432-2064
Online Access:	Get full text
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