Gene B. Kim

activity

20172023

most citedCentral limit theorem for descents in conjugacy classes of

S_{n}

6 citations · 13 across the 5 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.CO2019

On the joint distribution of descents and signs of permutations

Jason Fulman, Gene B. Kim, Sangchul Lee +1

We study the joint distribution of descents and sign for elements of the symmetric group and the hyperoctahedral group (Coxeter groups of types $A$ and $B$ ). For both groups, this…

math.CO2019

The Absolute Orders on the Coxeter Groups $A_{n}$ and $B_{n}$ are Sperner

Lawrence H. Harper, Gene B. Kim, Neal Livesay

Over 50 years ago, Rota posted the following celebrated `Research Problem': prove or disprove that the partial order of partitions on an $n$ -set (i.e., the refinement order) is Spe…

math.CO2019★ 2 cited

Central limit theorem for peaks of a random permutation in a fixed conjugacy class of $S_{n}$

Jason Fulman, Gene B. Kim, Sangchul Lee

The number of peaks of a random permutation is known to be asymptotically normal. We give a new proof of this and prove a central limit theorem for the distribution of peaks in a f…

math.CO2019★ 1 cited

Is the Symmetric Group Sperner?

Larry H. Harper, Gene B. Kim

An antichain $A$ in a poset $P$ is a subset of $P$ in which no two elements are comparable. Sperner showed that the maximal antichain in the Boolean l…

On the joint distribution of descents and signs of permutations

The Absolute Orders on the Coxeter Groups An​ and Bn​ are Sperner

Central limit theorem for peaks of a random permutation in a fixed conjugacy class of Sn​

Is the Symmetric Group Sperner?

The Absolute Orders on the Coxeter Groups $A_{n}$ and $B_{n}$ are Sperner

Central limit theorem for peaks of a random permutation in a fixed conjugacy class of $S_{n}$