Anton Selemenchuk

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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,…