3 papers
math.PR2026
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,…
cond-mat.stat-mech2024
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…
math.PR2024
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…