6 papers
Orbitmesy and promotion on self-dual posets
Esther Banaian, Emily Barnard, Sunita Chepuri +1
We introduce the notion of orbitmesy, which is related to homomesy, a central phenomenon in dynamical algebraic combinatorics. An orbit is said to be orbitmesic with respect to…
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…
Interval-closed set rowmotion and homomesy on products of two chains
Nadia Lafrenière, Joel Brewster Lewis, Erin McNicholas +2
We study rowmotion dynamics on interval-closed sets. Our first main result proves a simplification of the global definition of interval-closed set rowmotion from (Elder, Lafrenière…
Enumeration of interval-closed sets via Motzkin paths and quarter-plane walks
Sergi Elizalde, Nadia Lafrenière, Joel Brewster Lewis +3
We find a generating function for interval-closed sets of the product of two chains poset by constructing a bijection to certain bicolored Motzkin paths. We also find a functional…
Enumeration of pattern-avoiding alternating sign matrices: An asymptotic dichotomy
Mathilde Bouvel, Eric S. Egge, Rebecca N. Smith +2
We completely classify the asymptotic behavior of the number of alternating sign matrices classically avoiding a single permutation pattern, in the sense of [Johansson and Linusson…
Sign matrix polytopes from Young tableaux
Sara Solhjem, Jessica Striker
Motivated by the study of polytopes formed as the convex hull of permutation matrices and alternating sign matrices, we define several new families of polytopes as convex hulls of…