2 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
A sign-reversing involution for the antipode of Schur functions
Younggwang Cho, Byung-Hak Hwang, Hojoon Lee
We resolve a question posed by Benedetti and Sagan by constructing a signreversing involution on Takeuchi's expansion that yields the antipode for the ring of symmetric functions i…