2 papers
math.CO2026
On the maximal dimension of an irreducible representation of the symmetric group
Amol Aggarwal, Dor Elboim
We prove that the maximal dimension of an irreducible representation of the symmetric group satisfies $$d_N=\sqrt{N!} \, e^{-(\mathfrak{d}+o(1))\sqrt{N} }, \quad N\to \…
math.PR2025
Strong Characterization for the Airy Line Ensemble
Amol Aggarwal, Jiaoyang Huang
In this paper we show that a Brownian Gibbsian line ensemble whose top curve approximates a parabola must be given by the parabolic Airy line ensemble. More specifically, we prove…