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math.CO2026
Askey--Wilson polynomials with ASEP parameters
Younggwang Cho, Donghyun Kim, Jang Soo Kim
Koornwinder moments generalize the Askey--Wilson moments arising in the asymmetric simple exclusion process. Rains conjectured that, under the specialization , the minimal num…
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…