A. P. Kels

activity

20132024

most citedNew solutions of the star-triangle relation with discrete and continuous spin variables

38 citations · 265 across the 20 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math-ph2018★ 8 cited

Extended Z-invariance for integrable vector and face models and multi-component integrable quad equations

Andrew P. Kels

In a previous paper, the author has established an extension of the Z-invariance property for integrable edge-interaction models of statistical mechanics, that satisfy the star-tri…

nlin.SI2018★ 3 cited

Lens Generalisation of $τ$ -functions for the Elliptic Discrete Painlevé Equation

Andrew P. Kels, Masahito Yamazaki

We propose a new bilinear Hirota equation for $τ$ -functions associated with the $E_{8}$ root lattice, that provides a "lens" generalisation of the $τ$ -functions for the elliptic disc…

math-ph2018★ 15 cited

Integrable quad equations derived from the quantum Yang-Baxter equation

Andrew P. Kels

This paper presents an explicit correspondence between two different types of integrable equations; the quantum Yang-Baxter equation in its star-triangle relation form, and the cla…

Extended Z-invariance for integrable vector and face models and multi-component integrable quad equations

Lens Generalisation of τ-functions for the Elliptic Discrete Painlevé Equation

Integrable quad equations derived from the quantum Yang-Baxter equation

Lens Generalisation of $τ$ -functions for the Elliptic Discrete Painlevé Equation