The University of Michigan Combinatorics Seminar


Abstract 

A solid diagram of volume n is a packing of n unit cubes into
a corner so that the heights of vertical stacks of cubes do not increase in
either of two horizontal directions away from the corner. An asymptotic
distribution of the dimensionsheights, depths, and widthsof the diagram
chosen uniformly at random among all such diagrams is studied. For each k,
the planar base of k tallest stacks is shown to be Plancherel distributed.
