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The five vertex model on a rectangle

  • Jan de Gier

    University of Melbourne, Parkville, Australia

  • Richard Kenyon

    Yale University, New Haven, USA

  • Michael Wheeler

    University of Melbourne, Parkville, Australia

  • Yuyang Zhou

    University of Melbourne, Parkville, Australia
The five vertex model on a rectangle cover

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Abstract

We derive a determinantal expression for the inhomogeneous asymmetric five vertex model in a rectangular geometry with arbitrary boundary conditions at the bottom and top. Standard non-intersecting lattice path, or free fermion, approaches are not applicable and the determinantal form, thus, is not immediate.

Cite this article

Jan de Gier, Richard Kenyon, Michael Wheeler, Yuyang Zhou, The five vertex model on a rectangle. Ann. Inst. Henri Poincaré Comb. Phys. Interact. (2026), published online first

DOI 10.4171/AIHPD/240