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20072024
most citedVertex models, TASEP and Grothendieck polynomials

54 citations · 240 across the 41 of their papers we have counts for

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math.CO2020★ 11 cited

Refined dual Grothendieck polynomials, integrability, and the Schur measure

Kohei Motegi, Travis Scrimshaw

We construct a vertex model whose partition function is a refined dual Grothendieck polynomial, where the states are interpreted as nonintersecting lattice paths. Using this, we sh…

math-ph2020

Integrable models and -theoretic pushforward of Grothendieck classes

Kohei Motegi

We show that a multiple commutation relation of the Yang-Baxter algebra of integrable lattice models derived by Shigechi and Uchiyama can be used to connect two types of Grothendie…