3 papers
math.CO2026
An explicit formula for Koornwinder moments and Rains' positivity conjecture
Younggwang Cho, Donghyun Kim, Jang Soo Kim +3
The asymmetric simple exclusion process (ASEP) is an important particle model with deep connections to orthogonal polynomials. Motivated by this connection, Corteel and Williams in…
math.CO2026
Thrall's problem for two rows
JiSun Huh, Woo-Seok Jung, Jang Soo Kim +1
In this paper, we study Thrall's problem for the higher Lie modules . Our main result provides a tableau-theoretic description of the Schur expansion of the character of $L_Î…
math.CO2026
Bijections for rhombic alternative tableaux
Sylvie Corteel, Jang Soo Kim, Olya Mandelshtam +1
We generalize well-known bijections between alternative tableaux and permutations to bijections between rhombic alternative tableaux (RAT) and assemblées of permutations. We show…