Colin Defant

activity

20142026

most citedStack-Sorting Preimages of Permutation Classes

12 citations · 98 across the 59 of their papers we have counts for

collaborators

87 papers

math.PR2026

Cutoff for the Adjacent Transposition Shuffle on a Cycle

Colin Defant

In the adjacent transposition shuffle on a cycle, $n$ distinct cards are placed at the vertices of a cycle, and adjacent cards swap positions according to independent Poisson clock…

math.CO2026

Zero-free columns in character tables of symmetric groups

Colin Defant, Sidharth Hariharan, Kenny Lau +1

The rows and columns of the character table of the symmetric group $S_{n}$ are both naturally indexed by partitions of $n$ . Let $D (n)$ denote the number of conjugacy classes of $S_{n}$ …

math.PR2026

Proof of the Lyons--White Conjecture

Colin Defant, Ken Ono

Let $D_{n}$ be the dihedral group of order $2 n$ . Consider a continuous-time random walk on $D_{n}$ driven by arbitrary symmetric rates whose support generates $D_{n}$ . For $p\in[1,\infty…

math.CO2026

On the number of permutation-twisted dot products

Ruben Carpenter, Colin Defant, Noah Kravitz

Let $K$ be a field of characteristic $0$ . For each choice of distinct $a_{1}, \dots, a_{n} \in K$ and distinct $b_{1}, \dots, b_{n} \in K$ , consider the sum $S=\…

math.PR2025

Permutons from Demazure Products

Colin Defant

We construct and analyze several new families of permutons arising from random processes involving the Demazure product on the symmetric group. First, we consider Demazure products…

math.PR2025

Random Subwords and Billiard Walks in Affine Weyl Groups

Colin Defant, Pakawut Jiradilok, Elchanan Mossel

Let $W$ be an irreducible affine Weyl group, and let $b$ be a finite word over the alphabet of simple reflections of $W$ . Fix a probability $p \in (0, 1)$ . For each integer $…