Colin Defant

activity

20242026

collaborators

5 papers

math.CO2026

Toric Promotion with Reflections and Refractions

Ashleigh Adams, Colin Defant, Jessica Striker

Inspired by recent work on refraction billiards in dynamics, we introduce a notion of refraction for combinatorial billiards. This allows us to define a generalization of toric pro…

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 $…

math.CO2024

Bender--Knuth Billiards in Coxeter Groups

Grant Barkley, Colin Defant, Eliot Hodges +2

Let $(W, S)$ be a Coxeter system, and write $S = {s_{i} : i \in I}$ , where $I$ is a finite index set. Fix a nonempty convex subset $L$ of $W$ . If $W$ is of type $A$ , then $\mat…