Anton Nazarov

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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.PR2025

Fluctuations of Young diagrams for symplectic groups and semiclassical orthogonal polynomials

Anton Nazarov, Anton Selemenchuk

Consider an $n \times k$ matrix of i.i.d. Bernoulli random numbers with $p = 1/2$ . Dual RSK algorithm gives a bijection of this matrix to a pair of Young tableaux of conjugate shape,…

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

Fluctuations of Young diagrams for symplectic groups and semiclassical orthogonal polynomials

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

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