4 papers
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…
Webification of symmetry classes of plane partitions
Ashleigh Adams, Jessica Striker
Webs are graphical objects that give a tangible, combinatorial way to compute and classify tensor invariants. Recently, [Gaetz, Pechenik, Pfannerer, Striker, Swanson 2023+] found a…
The Cyclic Sieving Phenomenon and frieze patterns
Ashleigh Adams, Esther Banaian
We exhibit two instances of the cyclic sieving phenomenon - one on dissections of a polygon of a fixed type and one on triangulations of a once-punctured polygon. We use these resu…
Cyclic sieving on permutations -- an analysis of maps and statistics in the FindStat database
Ashleigh Adams, Jennifer Elder, Nadia Lafrenière +3
We perform a systematic study of permutation statistics and bijective maps on permutations using SageMath to search the FindStat combinatorial statistics database to identify appar…