Elliptically distributed lozenge tilings of a hexagon
type: Item
instance of: scholarly article
title: Elliptically distributed lozenge tilings of a hexagon
zbMATH Open document ID: 1390.33039
DOI: 10.3842/SIGMA.2018.032
author: Dan Betea
published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
publication date: 2018-05-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/1110.4176
Mathematics Subject Classification ID: 33E05
Mathematics Subject Classification ID: 60C05
Mathematics Subject Classification ID: 05E05
zbMATH DE Number: 6869609
zbMATH Keywords: boxed plane partitions
zbMATH Keywords: elliptic biorthogonal functions
zbMATH Keywords: particle systems
zbMATH Keywords: exact sampling
MaRDI profile type: Publication
arXiv ID: 1110.4176
cites work: Q3056951
cites work: Q3105251
cites work: Macdonald processes
cites work: Anisotropic growth of random surfaces in \({2+1}\) dimensions
cites work: Shuffling algorithm for boxed plane partitions
cites work: \(q\)-distributions on boxed plane partitions
cites work: Eynard-Mehta theorem, Schur process, and their Pfaffian analogs
cites work: A variational principle for domino tilings
cites work: The shape of a typical boxed plane partition
cites work: Strong stationary times via a new form of duality
cites work: Matrices coupled in a chain: I. Eigenvalue correlations
cites work: Q3123464
cites work: Q4828543
cites work: Nonintersecting paths and the Hahn orthogonal polynomial ensemble
cites work: Non-intersecting, simple, symmetric random walks and the extended Hahn kernel.
cites work: Q5605168
cites work: Limit shapes and the complex Burgers equation
cites work: Hypergeometric Orthogonal Polynomials and Their q-Analogues
cites work: Q4328336
cites work: \(BC_n\)-symmetric abelian functions
cites work: Transformations of elliptic hypergeometric integrals
cites work: Elliptic Littlewood identities
cites work: First order analytic difference equations and integrable quantum systems
cites work: Elliptic enumeration of nonintersecting lattice paths
cites work: Q4317891
cites work: Spectral transformation chains and some new biorthogonal rational functions
cites work: Generalized eigenvalue problem and a new family of rational functions biorthogonal on elliptic grids.
cites work: Summation and transformation formulas for elliptic hypergeometric series.
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description: scientific article