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.CO2025
Combinatorics of orthogonal polynomials on the unit circle
Jihyeug Jang, Minho Song
Orthogonal polynomials on the unit circle (OPUC for short) are a family of polynomials whose orthogonality is given by integration over the unit circle in the complex plane. There…
math.CO2025
Refined canonical stable Grothendieck polynomials and their duals, Part 2
Byung-Hak Hwang, Jihyeug Jang, Jang Soo Kim +2
This paper is the sequel of the paper under the same title with part 1, where we introduced refined canonical stable Grothendieck polynomials and their duals with two families of i…