PreprintCC BY 4.0arXiv
The five vertex model on a rectangle
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.
Versions
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BibTeX
@misc{gier2026five,
title = {{The five vertex model on a rectangle}},
author = {Jan de Gier and Richard Kenyon and Michael Wheeler and Yuyang Zhou},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2606.22004},
eprint = {2606.22004},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.22004},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The five vertex model on a rectangle
AU - Jan de Gier
AU - Richard Kenyon
AU - Michael Wheeler
AU - Yuyang Zhou
PY - 2026
DA - 2026/11/02
PB - arXiv
DO - 10.48550/arxiv.2606.22004
UR - https://arxiv.org/abs/2606.22004
AB - 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.
ER -