11 citations · 14 across the 4 of their papers we have counts for
13 papers
Limit shapes for skew Howe duality
Dan Betea, Anton Nazarov, Travis Scrimshaw
We study large random partitions boxed into a rectangle and coming from skew Howe duality, or alternatively from dual Schur measures. As the sides of the rectangle go to infinity,…
Crystal invariant theory II: Pseudo-energies
Benjamin Brubaker, Gabriel Frieden, Pavlo Pylyavskyy +1
The geometric crystal operators and geometric -matrices (or geometric Weyl group actions) give commuting actions on the field of rational functions in variables. We study t…
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…
Double Grothendieck polynomials and colored lattice models
Valentin Buciumas, Travis Scrimshaw
We construct an integrable colored six-vertex model whose partition function is a double Grothendieck polynomial. This gives an integrable systems interpretation of bumpless pipe d…
Colored five-vertex models and Lascoux polynomials and atoms
Valentin Buciumas, Travis Scrimshaw, Katherine Weber
We construct an integrable colored five-vertex model whose partition function is a Lascoux atom based on the five-vertex model of Motegi and Sakai [arXiv:1305.3030] and the colored…
Crystal structures for canonical Grothendieck functions
Graham Hawkes, Travis Scrimshaw
We give a -crystal structure on multiset-valued tableaux, hook-valued tableaux, and valued-set tableaux, whose generating functions are the weak symmetric, ca…