Weighted enumerations of boxed plane partitions and the inhomogeneous five-vertex model

DOI10.1007/s10958-013-1374-xzbMath1276.05007OpenAlexW2074451258MaRDI QIDQ378709

V. S. Kapitonov, Andrei G. Pronko

Publication date: 12 November 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1374-x

zbMATH Keywords

Young diagramfive-vertex model

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Combinatorial probability (60C05) Combinatorial aspects of tessellation and tiling problems (05B45)

Related Items (4)

A tangent method derivation of the arctic curve for q-weighted paths with arbitrary starting points ⋮ Quantum Hamiltonians generated by the \(R\)-matrix of the five-vertex model ⋮ Six-vertex model as a Grassmann integral, one-point function, and the arctic ellipse ⋮ Finite-size correction to the scaling of free energy in the dimer model on a hexagonal domain

Cites Work

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• \(q\)-distributions on boxed plane partitions
• Four-vertex model and random tilings
• The five-vertex model and boxed plane partitions
• The q-analogue of the Laguerre polynomials
• Generalizations of a \(q\)-analogue of Laguerre polynomials
• The shape of a typical boxed plane partition
• q-SOBOLEV ORTHOGONALITY OF THE q-LAGUERRE POLYNOMIALS {L_n^(-N)(·q)}_n=0^∞FOR POSITIVE INTEGERS N
• Boxed plane partitions as an exactly solvable boson model
• Hypergeometric Orthogonal Polynomials and Their q-Analogues

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