P. Nikitin

activity

20242026

collaborators

3 papers

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.RT2025

Last passage percolation in lower triangular domain

Dan Betea, Anton Nazarov, Pavel Nikitin

Last passage percolation (LPP) in an $n \times n$ lower triangular domain has nice connections with various generalizations of Schur measures. LPP along an anti-diagonal, from $(1,n…

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…

Christoffel transform and symplectic skew Howe duality

Last passage percolation in lower triangular domain

Limit shapes and fluctuations for (GLn​,GLk​) skew Howe duality

Limit shapes and fluctuations for $(G L_{n}, G L_{k})$ skew Howe duality