5 citations · 8 across the 6 of their papers we have counts for
8 papers
Tableau Stabilization and Lattice Paths
Connor Ahlbach, Jacob David, Suho Oh +1
If one attaches shifted copies of a skew tableau to the right of itself and rectifies, at a certain point the copies no longer experience vertical slides, a phenomenon called table…
Tableau Stabilization and Rectangular Tableaux Fixed by Promotion Powers
Connor Ahlbach
We introduce tableau stabilization, a new phenomenon and statistic on Young tableaux based on jeu de taquin. We investigate bounds for tableau stabilization, the shape of stabilize…
Cyclic sieving, necklaces, and branching rules related to Thrall's problem
Connor Ahlbach, Joshua P. Swanson
We show that the cyclic sieving phenomenon of Reiner--Stanton--White together with necklace generating functions arising from work of Klyachko offer a remarkably unified, direct, a…
Refined Cyclic Sieving on Words for the Major Index Statistic
Connor Ahlbach, Joshua Swanson
Reiner-Stanton-White defined the cyclic sieving phenomenon (CSP) associated to a finite cyclic group action and a polynomial. A key example arises from the length generating functi…
Gap Theorems for the Delay of Circuits Simulating Finite Automata
Connor Ahlbach, Jeremy Usatine, Nicholas Pippenger
We study the delay (also known as depth) of circuits that simulate finite automata, showing that only certain growth rates (as a function of the number of steps simulated) are…
A Combinatorial Interpretation of the Joint Cumulant
Connor Ahlbach, Jeremy Usatine, Nicholas Pippenger
In this paper, we apply the combinatorial proof technique of Description, Involution, Exceptions (DIE) to prove various known identities for the joint cumulant. Consider a set of r…