Dun Qiu

activity

20172026

most cited

e

-Positivity Results and Conjectures

7 citations · 9 across the 9 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.CO2018

Classical pattern distributions in $S_{n} (132)$ and $S_{n} (123)$

Dun Qiu, Jeffrey Remmel

Classical pattern avoidance and occurrence are well studied in the symmetric group $S_{n}$ . In this paper, we provide explicit recurrence relations to the generating func…

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.…

Classical pattern distributions in Sn​(132) and Sn​(123)

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

Classical pattern distributions in $S_{n} (132)$ and $S_{n} (123)$

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