Doubly periodic lozenge tilings of a hexagon and matrix valued orthogonal polynomials

DOI10.1111/sapm.12339zbMath1466.05027arXiv2001.11095OpenAlexW3089852133MaRDI QIDQ4995570

Christophe Charlier

Publication date: 25 June 2021

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.11095

zbMATH Keywords

Riemann-Hilbert problemsmatrix valued orthogonal polynomialsdoubly periodic lozenge tilings

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Combinatorial aspects of tessellation and tiling problems (05B45) Other special orthogonal polynomials and functions (33C47) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Related Items (5)

Matrix-valued orthogonal polynomials related to hexagon tilings ⋮ Asymptotics of matrix valued orthogonal polynomials on \([-1, 1\)] ⋮ Critical measures on higher genus Riemann surfaces ⋮ On the domino shuffle and matrix refactorizations ⋮ Free fermion six vertex model: symmetric functions and random domino tilings

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