4 papers
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…
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…
Last passage percolation in lower triangular domain
Dan Betea, Anton Nazarov, Pavel Nikitin
Last passage percolation (LPP) in an lower triangular domain has nice connections with various generalizations of Schur measures. LPP along an anti-diagonal, from $(1,n…
Limit shapes and fluctuations for skew Howe duality
Dan Betea, Anton Nazarov, Pavel Nikitin +1
We consider the probability measures on Young diagrams in the rectangle obtained by piecewise-continuously differentiable specializations of Schur polynomials in the d…