P. Nikitin

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20242026

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math.PR2026

Christoffel transform and symplectic skew Howe duality

Anton Nazarov, Pavel Nikitin, Anton Selemenchuk

For a symmetric weight $w (x)$ on a finite discrete lattice and its Christoffel transforms $x^{2} w (x), x^{2} (x^{2} w (x)), \dots$ , we prove that, at each Christoffel step, the conjugate…

math.PR2024

Limit shapes and fluctuations for $(G L_{n}, G L_{k})$ skew Howe duality

Dan Betea, Anton Nazarov, Pavel Nikitin +1

We consider the probability measures on Young diagrams in the $n \times k$ rectangle obtained by piecewise-continuously differentiable specializations of Schur polynomials in the d…

Christoffel transform and symplectic skew Howe duality

Limit shapes and fluctuations for (GLn​,GLk​) skew Howe duality

Limit shapes and fluctuations for $(G L_{n}, G L_{k})$ skew Howe duality