Dun Qiu

activity

20172019

most cited

e

-Positivity Results and Conjectures

7 citations · 8 across the 2 of their papers we have counts for

collaborators

5 papers

math.CO2019★ 7 cited

$e$ -Positivity Results and Conjectures

Adriano M. Garsia, James Haglund, Dun Qiu +1

In a 2016 ArXiv posting F. Bergeron listed a variety of symmetric functions $G [X; q]$ with the property that $G [X; 1 + q]$ is $e$ -positive. A large subvariety of his examples could be…

math.CO2018

Counting Consecutive Pattern Matches in $S_{n} (132)$ and $S_{n} (123)$

Ran Pan, Dun Qiu, Jeffrey Remmel

In this paper, we study the distribution of consecutive patterns in the set of 123-avoiding permutations and the set of 132-avoiding permutations, that is, in $S_{n} (123)$ …

math.CO2018

Schur Function Expansions and the Rational Shuffle Theorem

Dun Qiu, Jeffrey Remmel

Gorsky and Negut introduced operators $Q_{m, n}$ on symmetric functions and conjectured that, in the case where $m$ and $n$ are relatively prime, the expression $Q_{m, n} (1)$ is gi…

math.CO2018

Patterns in words of ordered set partitions

Dun Qiu, Jeffrey Remmel

An ordered set partition of ${1, 2, \dots, n}$ is a partition with an ordering on the parts. Let $O P_{n, k}$ be the set of ordered set partitions of $[n]$ with $k$ blocks.…

math.CO2017★ 1 cited

On the Schur positivity of $Δ_{e_{2}} e_{n} [X]$

Dun Qiu, Jeffrey B. Remmel, Emily Sergel +1

Let $N$ denote the set of non-negative integers. Haglund, Wilson, and the second author have conjectured that the coefficient of any Schur function $s_{λ} [X]$ in $Δ_{e_k} e_…

e-Positivity Results and Conjectures

Counting Consecutive Pattern Matches in Sn​(132) and Sn​(123)

Schur Function Expansions and the Rational Shuffle Theorem

Patterns in words of ordered set partitions

On the Schur positivity of Δe2​​en​[X]

$e$ -Positivity Results and Conjectures

Counting Consecutive Pattern Matches in $S_{n} (132)$ and $S_{n} (123)$

On the Schur positivity of $Δ_{e_{2}} e_{n} [X]$