Anton Nazarov

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math.PR2026

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…

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