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20212026
most citedRefined canonical stable Grothendieck polynomials and their duals, Part 1

2 citations · 2 across the 7 of their papers we have counts for

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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.CO2024

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.CO2024

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…

math.CO2023

Kemeny's constant and enumerating Braess edges in trees

Jihyeug Jang, Mark Kempton, Sooyeong Kim +3

We study the problem of enumerating Braess edges for Kemeny's constant in trees. We obtain bounds and asympotic results for the number of Braess edges in some families of trees.

math.CO2022

Kemeny's constant and Wiener index on trees

Jihyeug Jang, Sooyeong Kim, Minho Song

On trees of fixed order, we show a direct relation between Kemeny's constant and Wiener index, and provide a new formula of Kemeny's constant from the relation with a combinatorial…

math.CO2022

Negative moments of orthogonal polynomials

Jihyeug Jang, Donghyun Kim, Jang Soo Kim +2

If a sequence indexed by nonnegative integers satisfies a linear recurrence without constant terms, one can extend the indices of the sequence to negative integers using the recurr…

math.CO2021★ 2 cited

Refined canonical stable Grothendieck polynomials and their duals, Part 1

Byung-Hak Hwang, Jihyeug Jang, Jang Soo Kim +2

In this paper we introduce refined canonical stable Grothendieck polynomials and their duals with two infinite sequences of parameters. These polynomials unify several generalizati…