The Limiting Distribution of the Trace of a Random Plane Partition
  We study the asymptotic behaviour of the trace (the sum of the diagonal parts) of a plane partition of the positive integer n, assuming that this parfition is chosen uniformly at random from the set of all such partitions. 
Ljuben Mutafchiev (1), Emil Kamenov (2) ((1) American University in   Bulgaria, (2) Sofia University)