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math.PR2022★ 2 cited
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,…
math.RT2022★ 1 cited
Skew Howe duality and q-Krawtchouk polynomial ensemble
Anton Nazarov, Pavel Nikitin, Daniil Sarafannikov
We consider the decomposition into irreducible components of the exterior algebra regarded as a $GL_{n…