Expected Value of Statistics on Type-B Permutation Tableaux
Ryan Althoff
Messiah University
Daniel Diethrich
Amanda Lohss
Xin-Dee Low
Emily Wichert
Abstract
Type-B permutation tableaux are combinatorial objects introduced by Lam and Williams that have an interesting connection with the partially asymmetric simple exclusion process (PASEP). In this paper, we compute the expected value of several statistics on these tableaux. Some of these computations are motivated by a similar paper on permutation tableaux. Others are motivated by the PASEP. In particular, we compute the expected number of rows, unrestricted rows, diagonal ones, adjacent south steps, and adjacent west steps.
