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

Showing 2026Show all

4 papers · 1 filter

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=\…