Colin Defant

activity

20142026

most citedStack-Sorting Preimages of Permutation Classes

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

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5 papers · 1 filter

math.PR2024

Random Subwords and Pipe Dreams

Colin Defant

Fix a probability $p \in (0, 1)$ . Let $s_{i}$ denote the transposition in the symmetric group $S_{n}$ that swaps $i$ and $i + 1$ . Given a word $w$ over the alphabet $\{s…

math.CO2024

Rainbow Stackings of Random Edge-Colorings

Noga Alon, Colin Defant, Noah Kravitz

A rainbow stacking of $r$ -edge-colorings $χ_{1}, \dots, χ_{m}$ of the complete graph on $n$ vertices is a way of superimposing $χ_{1}, \dots, χ_{m}$ so that no edges of the same color ar…

math.CO2024

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.CO2024★ 1 cited

Tilings of Benzels via Generalized Compression

Colin Defant, Leigh Foster, Rupert Li +2

Defant, Li, Propp, and Young recently resolved two enumerative conjectures of Propp concerning the tilings of regions in the hexagonal grid called benzels using two types of protot…

math.CO2024★ 1 cited

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…