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math.PR2026
The Fixed- Edge Limit of the -Krawtchouk Ensemble
Pavel Nikitin
We study the fixed- right-edge asymptotics of the ordinary -Krawtchouk ensemble. For , finite polynomial duality gives a direct proof of convergence of the correlation…
math.PR2026
Christoffel transform and symplectic skew Howe duality
Anton Nazarov, Pavel Nikitin, Anton Selemenchuk
For a symmetric weight on a finite discrete lattice and its Christoffel transforms , we prove that, at each Christoffel step, the conjugate…