Corners in tree-like tableaux

Abstract

Tree-like tableaux (and other similar combinatorial objects) have been introduced a few years ago and have been of interest primarily because of their connections to Asymmetric Simple Exclusion Processes, jumping particle models studied in theoretical physics. ? ??? Since then, combinatorial properties of these objects have been a subject of interest and study.? In this talk I will discuss some relatively recent results on the asymptotic distribution of several parameters in tree-like tableaux. They were obtained jointly with my PhD advisees (one current and one former) and extend earlier results of Aval, Boussicault, Nadeau, and Laborde-Zubieta.