32 citations · 45 across the 4 of their papers we have counts for
5 papers · 1 filter
Quarter-Turn Baxter Permutations
Kevin Dilks
Baxter permutations are known to be in bijection with a wide number of combinatorial objects. Previously, it was shown that each of these objects had a natural involution which was…
Rowmotion and Increasing Labeling Promotion
Kevin Dilks, Jessica Striker, Corey Vorland
In 2012, N. Williams and the second author showed that on order ideals of ranked partially ordered sets (posets), rowmotion is conjugate to (and thus has the same orbit structure a…
Resonance in orbits of plane partitions and increasing tableaux
Kevin Dilks, Oliver Pechenik, Jessica Striker
We introduce a new concept of resonance on discrete dynamical systems. This concept formalizes the observation that, in various combinatorially-natural cyclic group actions, orbit…
Involutions on Baxter Objects
Kevin Dilks
Baxter numbers are known to count several families of combinatorial objects, all of which come equipped with natural involutions. In this paper, we add a combinatorial family to th…
Affine descents and the Steinberg torus
Kevin Dilks, T. Kyle Petersen, John Stembridge
Let be an irreducible affine Weyl group with Coxeter complex , where denotes the associated finite Weyl group and the translation subgroup. The Steinberg to…