4 papers
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…
Fluctuations of Young diagrams for symplectic groups and semiclassical orthogonal polynomials
Anton Nazarov, Anton Selemenchuk
Consider an matrix of i.i.d. Bernoulli random numbers with . Dual RSK algorithm gives a bijection of this matrix to a pair of Young tableaux of conjugate shape,…
Observation of droplets in dimer model on a triangular lattice
Daria Shvalyuk, Anton Nazarov
In this paper, we consider the formation of droplets in the dimer model on a triangular lattice. The droplets in the dimer model are superposition polygons formed as two overlappin…
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…