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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
Proof of a Conjecture on Young Tableaux with Walls
Zhicong Lin, Feihu Liu, Jiahang Liu +2
Banderier, Marchal, and Wallner considered Young tableaux with walls, which are similar to standard Young tableaux, except that local decreases are allowed at some walls. In this w…