Author

P. Nikitin

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Preprint Sep 2026

The Fixed-$q$ Edge Limit of the $q$-Krawtchouk Ensemble

We study the fixed-$q$ right-edge asymptotics of the ordinary $q$-Krawtchouk ensemble. For $0<q<1$, finite polynomial duality gives a direct proof of convergence of the correlation kernels to an explicit limiting kernel. The local Jacobi limit is a shifted continuous $q^{-1}$-Hermite expression with an indeterminate mo...

P. Nikitin · 0 citations

Preprint Sep 2026

Christoffel transform and symplectic skew Howe duality

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 conjugated projection associated with the transformed Christoffel--Darboux kernel differs from the original orthogonal projection by a rank-one opera...

Anton Nazarov, P. Nikitin, Anton Selemenchuk · 0 citations