Donghyun Kim

collaborators

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

Toward Butler's conjecture

Donghyun Kim, Seung Jin Lee, Jaeseong Oh

For a partition $I^½$ , let $I^», I^¼ \subseteq I^½$ be two distinct partitions such that $∣ I^½/ I^»∣ = ∣ I^½/ I^¼∣ = 1$ . Butler conjectured that the divided difference $\operatorname{I}_{Î»,Î¼}[X;q…

math.CO2025

Shuffle formula in science fiction for Macdonald polynomials

Donghyun Kim, Seung Jin Lee, Jaeseong Oh

We initiate the study of the Macdonald intersection polynomials $I_{I^¼^{(1)}, \dots, I^¼^{(k)}} [X; q, t]$ , which are indexed by $k$ -tuples of partitions $Î¼^{(1)},\dots,Î…