Volume Laws for Boxed Plane Partitions and Area Laws for Ferrers   Diagrams
  We asymptotically analyse the volume-random variables of general, symmetric and cyclically symmetric plane partitions fitting inside a box. We consider the respective symmetry class equipped with the uniform distribution. We also prove area limit laws for two ensembles of Ferrers diagrams. Most of the limit laws are Gaussian. 
Uwe Schwerdtfeger