activity
20042026
most citedComputing reflection length in an affine Coxeter group

15 citations · 35 across the 24 of their papers we have counts for

collaborators

29 papers

math.CO2026

Is There An Ideal Color Wheel?

Tejo Madhavarapu, T. Kyle Petersen, Peter Winkler

The familiar color wheel is a disk divided into six sectors, colored red, orange, yellow, green, blue, and purple, in circular order. Three of the colors can be obtained by blendin…

math.CO2022

A More Malicious Maitre d'

Reed Acton, T. Kyle Petersen, Blake Shirman +1

In this paper we study the problem of the Malicious Maitre d', as described in Peter Winkler's book Mathematical Puzzles: A Connoisseur's Collection. This problem, attributed to co…

math.CO2021

Monotone subsets in lattices and the Schensted shape of a Sós permutation

Karl Liechty, T. Kyle Petersen

For a fixed irrational number and , we look at the shape of the sequence after Schensted insertion, where . Our primary…

math.CO2020

Sós Permutations

Sarah Bockting-Conrad, Yevgenia Kashina, T. Kyle Petersen +1

Let for fixed real parameters and . For any positive integer , define the Sós permutation to be the lexicographically first permutation such tha…

math.CO2020

Card shuffling and -partitions

Jason Fulman, T. Kyle Petersen

In this expository article, we highlight the direct connection between card shuffling and the functions known as -partitions that come from algebraic combinatorics. While many (…

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 and ). For both groups, this…